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2605.30763 2026-06-01 eess.SY cs.SY

A Data-Driven Methodology for Scalable Distributed MPC in Heterogeneous Building Aggregation: From Systematic Feature Selection to Convex Optimization

一种数据驱动的异构建筑聚合可扩展分布式MPC方法:从系统特征选择到凸优化

Kaipeng Xu, Zhuo Zhi, Keyue Jiang

AI总结 提出一种数据驱动框架,通过MPC感知的特征选择、输入凸编码器-仅变换器(IC-EoT)建模和跟踪ADMM分布式求解,实现异构建筑聚合的实时协调需求响应。

Comments 13 pages, 4 figures, 3 tables

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AI中文摘要

协调大规模、异构建筑聚合进行需求响应(DR)面临双重挑战:集中式模型预测控制(MPC)的计算不可行性,以及传统特征选择方法无法解决MPC所需多步预测的误差累积问题。本文提出一个全面的数据驱动框架,首先采用系统的、MPC感知的特征选择方法以确保鲁棒的多步预测,然后使用新型输入凸编码器-仅变换器(IC-EoT)对复杂建筑动态建模以保证凸优化问题,最后使用跟踪交替方向乘子法(ADMM)算法以完全分布式方式求解约束耦合问题(CCP)。该框架在高保真联合仿真环境中验证,基于EnergyPlus在动态分时电价(TOU)下控制消费者和产消者建筑的异构聚合。结果表明,与理论集中式控制器相比,所提出的分布式方法实现了近乎相同的经济最优性和更优的热舒适性,同时展现出卓越的计算可扩展性,克服了集中式方法在大型聚合中实时不可行的问题。

英文摘要

Coordinating large-scale, heterogeneous building aggregations for demand response (DR) is impeded by a dual challenge: the computational intractability of centralized Model Predictive Control (MPC) and the inadequacy of conventional feature selection methods, which fail to address the error-compounding nature of multi-step forecasting required by MPC. This paper proposes a comprehensive, data-driven framework that first employs a systematic, MPC-aware feature selection methodology to ensure robust multi-step prediction, then models the complex building dynamics using a novel Input-Convex Encoder-Only Transformer (IC-EoT) to guarantee a convex optimization problem, and finally solves the resulting constraint-coupled problem (CCP) in a fully distributed manner using the Tracking Alternating Direction Method of Multipliers (ADMM) algorithm. The framework is validated in a high-fidelity co-simulation environment, controlling a heterogeneous aggregation of consumer and prosumer buildings based on the EnergyPlus under a dynamic time-of-use (TOU) tariff. Results demonstrate that the proposed distributed approach achieves near-identical economic optimality and superior thermal comfort compared to a theoretical centralized controller, while exhibiting exceptional computational scalability that overcomes the real-time infeasibility of the centralized approach for large aggregations.

2605.30762 2026-06-01 cs.LO math.LO

Bringing closure to theory combination properties

理论组合性质的封闭性

Guilherme V. Toledo, Benjamin Przybocki, Yoni Zohar

AI总结 研究稳定无限性、温和性和光泽性(对可判定理论等价于强礼貌性)三种经典组合性质在交集和可组合性下的封闭性,通过迭代计算所有可能的交集及可组合的最大理论集,直至无新集合出现。

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AI中文摘要

我们考虑三种经典组合性质(即稳定无限性、温和性和光泽性,对于可判定理论等价于强礼貌性)在交集和可组合性下的封闭性。我们计算每一个可能的交集,然后计算可以与每个所得交集组合的最大理论集。我们迭代这个过程,直到没有新的集合被识别出来。最终我们会得到多少种性质?

英文摘要

We consider the closure of three classical combination properties, namely, stable infiniteness, gentleness and shininess (or, equivalently for decidable theories, strong politeness), under intersection and combinability. We compute every possible intersection, and then compute the maximal set of theories that can be combined with each resulting intersection. We iterate this process until no new sets are identified. How many properties will we end up with?

2605.30761 2026-06-01 astro-ph.IM

Characterising and mitigating Bluetooth and WiFi radio frequency interference at the Parkes Observatory

帕克斯天文台蓝牙和WiFi射频干扰的特征描述与缓解

Tommy Marshman, George Hobbs, J. R. Dawson, Stefan Oslowski, John Tuthill, Samantha Gordon, John E. Reynolds, Alex Dunning

AI总结 本研究详细描述了CSIRO帕克斯射电望远镜周围2.4 GHz频段的射频干扰特征,主要干扰源为WiFi和蓝牙,通过分析干扰的时变性和方向性,并比较三种检测与缓解算法,证明大部分信道数据不受影响,可实现实时缓解,将科学可用带宽从约30%提升至90%以上。

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AI中文摘要

我们详细描述了CSIRO帕克斯射电望远镜周围2.4 GHz频段的射频干扰(RFI)特征。主要的干扰源是WiFi和蓝牙传输。我们量化了这种RFI的强度和方向性如何随一天中的时间变化,并记录了其多年来的演变。尽管目前大多数观测者会丢弃该频段内的数据,但我们的分析表明,干扰在时间和频率上都是受限的,并且可以有效缓解。利用观测船帆座脉冲星(PSR J0835-4510)期间记录的10秒16位电压数据,我们证明了大部分信道化数据不受RFI影响。我们比较了三种RFI检测和缓解算法,并评估了它们的相对性能。所有方法都表现有效,并且任何方法都可以实时实现,以有效利用该观测频段。实时实现将使这个128 MHz观测频段的科学利用率从几乎70%的频段始终完全不可用,提高到超过90%的频段可用于科学。鉴于其简单性和效率,基本的功率阈值方法提供了一个相对直接的解决方案。

英文摘要

We present a detailed characterisation of radio frequency interference (RFI) in the 2.4 GHz band around Murriyang, CSIRO's Parkes radio telescope. The dominant sources of interference are Wi-Fi and Bluetooth transmissions. We quantify how the intensity and directionality of this RFI vary with time of day and document its evolution over several years. Although most observers currently discard data within this band, our analysis shows that the interference is confined in both timeand frequency and can be effectively mitigated. Using 10 seconds of 16-bit voltage data recorded during observations of the Vela Pulsar (PSR J0835-4510), we demonstrate that the majority of the channelised data remain unaffected by RFI. We compare three RFI detection and mitigation algorithms and evaluate their relative performance. All methods perform effectively, and any could be implemented in real time to enable productive use of this observing band. A real time implementation would allow the scientific use of this 128 MHz observing band to increase, from almost 70% of the band being completely unusable all of the time, to over 90% of becoming accessible for science. Given its simplicity and efficiency, a basic power-threshold approach offers a relatively straightforward solution.

2605.30760 2026-06-01 cond-mat.supr-con

Bending-like stress induced by solder joint under uniaxial tensile testing in 2G-HTS tapes: Impact and optimization approach

单轴拉伸测试中焊点引起的2G-HTS带材弯曲类应力:影响与优化方法

Dean Liu, Yue Wu, Haoliang Xiang, Xiaofen Li, Caida Fu, Chiheng Dong, Yue Zhao

AI总结 通过实验和数值方法研究焊点引起的应力集中对2G-HTS带材可逆应力极限测量精度的影响,提出背面焊接优化方法,使测量值提升42%并接近真实值。

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AI中文摘要

第二代高温超导(2G-HTS)带材的可逆应力极限(\mathit{R}_{rev})是一个关键性能指标,通常通过单轴拉伸测试来表征。实践中,电压抽头焊点引起的应力集中常常损害测得的Rrev值的准确性。本研究采用集成实验和数值方法探讨了潜在的干扰机制。机理分析表明,在单轴拉伸载荷下,焊点引入的局部几何不均匀性会在焊点附近诱发外部弯曲类应力,从邻近焊点区域的附加拉应力过渡到远离焊点区域的附加压应力。当焊点附着在带材正面(更靠近超导层的一侧)时,超导层经历局部附加拉应力,触发过早损伤和早期Ic退化。因此,提出了一种优化的背面焊接方法,将超导层置于局部受压区。实验验证表明,所提方法有效减轻了各种带材配置的测试误差。值得注意的是,对于铜层厚度为5 μm的带材,测得的Rrev从546 MPa增加到734 MPa,增加了42%,并更接近实际值。这些发现为2G-HTS带材机电性能(EMPs)的精确表征提供了重要见解。

英文摘要

The reversible stress limit (\mathit{R}_{rev}) of second-generation high-temperature superconducting (2G-HTS) tapes is a critical performance indicator, typically characterized through uniaxial tensile testing. In practice, the accuracy of the measured Rrev value is often compromised by stress concentration induced by the voltage tap solder joint. The present study investigates the underlying interference mechanism using integrated experimental and numerical methods. Mechanistic analysis reveals that under uniaxial tensile loading, the local geometric inhomogeneity introduced by the solder joint induces an external, bending-like stress in the vicinity of the solder joint, transitioning from additional tensile stress in the zone adjacent to the joint to additional compressive stress in the zone remote from it. When the solder joint is attached to the front surface of the tape (the side closer to the superconducting layer), the superconducting layer experiences localized additional tensile stress, triggering premature damage and early \mathit{I}_{c} degradation. Consequently, an optimized back-surface soldering approach is proposed, which positions the superconducting layer in a localized compressive zone. Experimental validation demonstrates that the proposed approach effectively mitigates testing errors for various tape configurations. Notably, for the tape with a copper layer thickness of 5 μm, the measured \mathit{R}_{rev} increased from 546 MPa to 734 MPa, corresponding to a 42% increase, and moved closer to the actual value. The findings provide essential insights for the precision characterization of the electromechanical performances (EMPs) of 2G-HTS tapes.

2605.30756 2026-06-01 math.AP

A Liouville theorem for bounded empirical-harmonic functions on $\mathcal{P}_2(M)$

关于 $\mathcal{P}_2(M)$ 上有界经验调和函数的 Liouville 定理

Hongwei Yuan

AI总结 本文引入经验调和函数的概念,证明若流形 M 具有有限积 Liouville 性质,则 $\mathcal{P}_2(M)$ 上的有界经验调和函数必为常数,并给出锐度性结果。

Comments 13 pages

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AI中文摘要

经典 Liouville 定理指出欧氏空间上的每个有界调和函数都是常数。在完备黎曼流形上,在非负 Ricci 曲率等几何假设下也有类似结论。二次 Wasserstein 空间 $\mathcal{P}_2(M)$(按照 Otto)通常被视为无限维黎曼流形;然而,它没有典范的无限维黎曼体积,因此也没有典范的 Laplace--Beltrami 算子。本文引入一种典范的有限维迹调和性概念:连续函数 $u:\mathcal{P}_2(M)\to\mathbb{R}$ 称为经验调和的,如果对每个 $N\geq 1$,其拉回到 $N$ 粒子经验层,\begin{equation*} (x_1,\ldots,x_N)\longmapsto u\left(\frac1N\sum_{i=1}^Nδ_{x_i}\right), \end{equation*} 在 $M^N$ 上是弱调和的。我们证明,如果 $M$ 具有有限积 Liouville 性质,则 $\mathcal{P}_2(M)$ 上的每个有界经验调和函数都是常数。特别地,这适用于 $M=\mathbb{R}^d$,更一般地,适用于每个具有非负 Ricci 曲率的完备连通黎曼流形。我们还证明了锐度性:如果 $M$ 上存在非常数的有界调和函数,则 $\mathcal{P}_2(M)$ 上存在非常数的有界经验调和函数。

英文摘要

The classical Liouville theorem states that every bounded harmonic function on Euclidean space is constant. On complete Rie mannian manifolds, analogous conclusions hold under geometric as sumptions such as nonnegative Ricci curvature. The quadratic Wasserstein space $\mathcal{P}_2(M)$ is often regarded (following Otto) as an infinite-dimensional Riemannian manifold; however, it has no canonical infinite-dimensional Riemannian volume and therefore no canonica Laplace--Beltrami operator. In this paper we introduce a canonical finite-dimensional trace notion of harmonicity: a continuous function $u:\mathcal{P}_2(M)\to\mathbb{R}$ is called empirically harmonic if, for every $N\geq 1$, its pullback to the $N$-particle empirical stratum, \begin{equation*} (x_1,\ldots,x_N)\longmapsto u\left(\frac1N\sum_{i=1}^Nδ_{x_i}\right), \end{equation*} is weakly harmonic on $M^N$. We prove that if $M$ has the finite-product Liouville property, then every bounded empirically harmonic function on $\mathcal{P}_2(M)$ is constant. In particular, this applies to $M=\mathbb{R}^d$ and, more generally, to every complete connected Riemannian manifold with nonnegative Ricci curvature. We also show sharpness: if $M$ admits a nonconstant bounded harmonic function, then $\mathcal{P}_2(M)$ admits a nonconstant bounded empirically harmonic function.

2605.30755 2026-06-01 math.PR

Collision properties of the four-dimensional random walk trace

四维随机游走迹线的碰撞性质

David A. Croydon, Daisuke Shiraishi, Satomi Watanabe

AI总结 研究四维整数格点上简单随机游走迹线上多个随机游走的碰撞,对两个独立连续时间游走得到碰撞时间过程的标度极限,对三个独立离散时间游走证明存在无穷多次三重碰撞。

Comments 31 pages, no figures

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AI中文摘要

我们考虑四维整数格点上简单随机游走迹线上多个随机游走的碰撞。对于两个独立游走(连续时间),我们应用Noda的结果推导出碰撞时间过程的标度极限。对于三个独立游走(离散时间),我们证明存在无穷多次三重碰撞。

英文摘要

We consider collisions of multiple random walks on the trace of a simple random walk on the four-dimensional integer lattice. For two independent walks (in continuous time), we apply a result of Noda to derive a scaling limit for the collision time process. For three independent walks (in discrete time), we demonstrate infinitely many triple collisions occur.

2605.30754 2026-06-01 math.GT

Positivity and log concavity of the Links--Gould polynomial of knots

Links--Gould 多项式的正性和对数凹性

Stavros Garoufalidis, Shana Yunsheng Li, Josephine Yu

AI总结 受 Harper--Kohli--Song--Tahar 近期工作的启发,本文对交错链环的 Links--Gould 多项式提出了一个正性、无空洞和对数凹性的猜想,并通过计算所有不超过 19 个交叉点的 5130 万个交错纽结验证了该猜想,其中除 544 个纽结外均满足更强的 B 型对数凹性条件。

Comments 17 pages

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AI中文摘要

受 Harper--Kohli--Song--Tahar 近期工作的启发,我们对交错链环的 Links--Gould 多项式提出了一个正性、无空洞和对数凹性的猜想,并通过计算所有不超过 19 个交叉点的 5130 万个交错纽结验证了该猜想。这些纽结中除 544 个外,均满足更强的 B 型对数凹性条件,该条件由对数系数诱导的单项式支撑细分中边的斜率刻画。

英文摘要

Motivated by the recent work of Harper--Kohli--Song--Tahar, we formulate a positivity, hole-free, and log-concavity conjecture for the Links--Gould polynomial of alternating links and verify it for all 51.3 million alternating knots with at most 19 crossings. All but 544 of those knots satisfy a stronger type-B log-concavity condition characterized by the slopes of edges in the subdivision of the monomial support induced by the log coefficients.

2605.30752 2026-06-01 cond-mat.supr-con cond-mat.str-el

Ni-O hybridization-driven electronic reconstruction across the superconducting dome in an infinite-layer nickelate

无限层镍酸盐中超导穹顶的Ni-O杂化驱动电子重构

Chi Sin Tang, Shengwei Zeng, Xing Gao, Zhaoyang Luo, Xiongfang Liu, Zhi Shiuh Lim, Saurav Prakash, Ping Yang, Caozheng Diao, Xinmao Yin, Changjian Li, Huajun Liu, Mark B. H. Breese, A. Ariando

AI总结 利用X射线吸收谱研究La1-xCaxNiO2的掺杂和温度依赖未占据态,发现Ni-O共价性的轨道选择性交叉与超导穹顶及输运异常直接相关。

Comments 13 main pages; 3 main figures; 4 supplementary pages; 5 supplementary figures

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AI中文摘要

无限层镍酸盐中的超导性作为铜酸盐类似物引起了广泛兴趣,然而电子结构随空穴掺杂如何演化仍悬而未决。这里我们利用O K边和Ni L边X射线吸收谱,绘制了La基无限层镍酸盐La1-xCaxNiO2的掺杂和温度依赖的未占据态。超导发生在0.18≤x≤0.27。在x~0.20-0.23附近,低能谱权重重新分布:Ni3d主导态减少而O2p杂化态增加,表明Ni-O共价性中存在轨道选择性交叉。该交叉与霍尔系数符号反转同时发生,并先于更高掺杂时超导临界温度的降低。通过将输运异常和超导穹顶直接与可测量的Ni-O轨道重组联系起来,我们的结果为无限层镍酸盐的统一轨道分辨相图以及通过杂化控制工程化超导性提供了关键一步。

英文摘要

Superconductivity in infinite-layer nickelates has drawn wide interest as a cuprate analogue, yet how the electronic structure evolves with hole doping remains unsettled. Here we map the doping- and temperature-dependent unoccupied states of the La-based infinite-layer nickelate La1-xCaxNiO2 using O K-edge and Ni L-edge x-ray absorption spectroscopy. Superconductivity occurs for 0.18<=x<=0.27. Near x~0.20-0.23, low-energy spectral weight redistributes: Ni3d-dominated states decrease while O2p-hybridized states increase, indicating an orbital-selective crossover in Ni-O covalency. This crossover coincides with a sign reversal of the Hall coefficient and precedes the reduction of the superconducting critical temperature at higher doping. By directly linking transport anomalies and the superconducting dome to a measurable Ni-O orbital reorganization, our results provide a key step toward a unified, orbital-resolved phase diagram for infinite-layer nickelates and a practical route to engineer superconductivity via hybridization control.

2605.30751 2026-06-01 cond-mat.mtrl-sci

Defect-engineered scaling of lead-free ferroelectrics with ultralow-voltage switching

缺陷工程实现超低电压开关的无铅铁电体缩放

Reza Ghanbari, Jiayue Wang, Harikrishnan KP, Zixiao Shi, Aarushi Khandelwal, Konnor Koons, Eli Rodrigues, Tao Zhou, Martin Holt, David A. Muller, Harold Y. Hwang, Ruijuan Xu

AI总结 通过缺陷工程调控碱金属缺陷,在亚10纳米薄膜中实现低于100 mV的稳健铁电开关,为超低功耗非易失电子技术提供可行路径。

Comments 23 pages, 4 figures

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AI中文摘要

将铁电体缩放至纳米厚度仍然是低功耗、非易失电子学的核心挑战,因为随着尺寸减小,漏电流日益占主导地位。基于碱金属的无铅铁电体为铅基系统提供了环境可持续的替代方案,但其缩放受到挥发性碱金属组分引起的漏电流的严重限制。在这里,我们展示了通过缺陷工程,这种内在限制可以转化为有利的自由度。通过在薄膜合成过程中精确调控碱金属缺乏,我们设计了作为深陷阱态的簇状缺陷复合体,强烈抑制漏电流,使得在亚10纳米尺度、低于100 mV电压下实现稳健的铁电操作。我们的结果确立了缺陷使能的缩放作为推进环境友好型铁电体走向超低功耗、非易失电子技术的可行途径。

英文摘要

Scaling ferroelectrics to nanometer thicknesses remains a central challenge for low-power, nonvolatile electronics, as leakage currents increasingly dominate with reduced dimensions. Alkali-based, lead-free ferroelectrics offer an environmentally sustainable alternative to lead-based systems, yet their scaling is severely limited by leakage arising from volatile alkali constituents. Here, we show that this intrinsic limitation can be transformed into an advantageous degree of freedom through defect engineering. By precisely modulating alkali deficiency during thin-film synthesis, we engineer clustered defect complexes that function as deep trap states, strongly suppressing leakage and enabling robust ferroelectric operation in ultrathin films down to the sub-10 nm regime at voltages below 100 mV. Our results establish defect-enabled scaling as a viable pathway for advancing environmentally benign ferroelectrics toward ultra-low-power, non-volatile electronic technologies.

2605.30744 2026-06-01 cs.GR

BijectiveRemesh: Maintaining Bijective Mappings for Data Transfer Across Remeshed Manifolds

BijectiveRemesh:在重新网格化流形上保持双射映射以进行数据传输

Leyi Zhu, Michael Tao, Yixin Hu, Daniele Panozzo, Denis Zorin

AI总结 提出BijectiveRemesh算法,通过链式局部双射图集在2D三角形和3D四面体网格的复杂重新网格化序列中保持连续双射映射,实现精确的几何实体追踪。

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AI中文摘要

我们介绍了BijectiveRemesh,一种鲁棒算法,用于在2D三角形曲面和3D四面体网格的复杂重新网格化序列中保持连续的双射映射。与依赖插值或投影的传统数据传输方法不同,我们的方法通过链接为每个基本重新网格化操作定义的局部双射图集,构建从输入网格到输出网格的数学严格的复合映射。我们的框架将整体映射表示为局部双射图集的组合,每个重新网格化操作对应一个图集。基于连续自参数化,我们引入了用于2D三角形网格的共享支架结构,通过局部方向保持来强制执行全局双射性。我们将这种方法扩展到处理边分裂、边交换和顶点平滑,超越了原始的边折叠。对于3D四面体网格,我们使用Steinitz定理和Maxwell-Cremona提升来推广局部图集构造,确保有效的嵌入。这使得在重新网格化过程中能够精确追踪几何实体,包括点、曲线和曲面,应用范围从纹理传输到体积模拟。

英文摘要

We introduce BijectiveRemesh, a robust algorithm for maintaining a continuous, bijective mapping across complex remeshing sequences on both 2D triangle surfaces and 3D tetrahedral meshes. Unlike traditional data transfer methods that rely on interpolation or projection, our approach constructs a mathematically rigorous composite map from the input mesh to the output mesh by chaining local bijective atlases defined for each primitive remeshing operation. Our framework represents the overall mapping as a composition of local bijective atlases, one per remeshing operation. Building upon successive self-parameterization, we introduce a Shared Scaffold structure for 2D triangle meshes that enforces global bijectivity through local orientation preservation. We extend this approach to handle edge splits, edge swaps, and vertex smoothing beyond the original edge collapses. For 3D tetrahedral meshes, we generalize the local atlas construction using Steinitz's Theorem and Maxwell-Cremona lifting to ensure valid embeddings. This enables exact tracking of geometric entities, including points, curves, and surfaces, across remeshing, with applications from texture transfer to volumetric simulations.

2605.30739 2026-06-01 math.QA math.RT

On integral forms for vertex superalgebras associated with affine Lie superalgebras and their modules

关于仿射李超代数及其模的顶点超代数的积分形式

Hongyan Guo, Hongju Zhao

AI总结 本文研究仿射顶点超代数及其模的积分形式,通过构造仿射李超代数通用包络超代数的积分形式,并利用Chevalley基推广Kostant-Garland积分形式理论,进而构造基于仿射李超代数的顶点(算子)超代数及其模的积分形式,并探讨积分形式包含共形向量以及反梯度模中的积分形式。

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AI中文摘要

本文研究仿射顶点超代数及其模的积分形式。我们首先获得仿射李超代数$\hat{\g}$的通用包络超代数$U(\hat{\g})$的积分形式。对于$\g$是基本经典李超代数的情况,我们利用Chevalley基给出了$U(\hat{\g})$的积分形式的另一种构造,推广了Kostant-Garland积分形式理论。然后我们将该理论应用于构造基于仿射李超代数的顶点(算子)超代数及其模的积分形式,并研究了积分形式何时包含共形向量,以及顶点算子超代数的反梯度模中的积分形式。

英文摘要

This paper studies integral forms for affine vertex superalgebras and their modules. We first obtain integral forms for the universal enveloping superalgebra $U(\hat{\g})$ of an affine Lie superalgebra $\hat{\g}$. For $\g$ a basic classical Lie superalgebra, we give another construction of integral forms for $U(\hat{\g})$ using Chevalley basis, generalizing Kostant-Garland integral form theory. Then we apply the theory to construct integral forms for vertex (operator) superalgebras based on affine Lie superalgebras and their modules, we also investigate when an integral form contains the conformal vector, and integral forms in contragredient modules for vertex operator superalgebras.

2605.30737 2026-06-01 math.PR

Reducing Kolmogorov's Reversibility Criterion Via a Basis for the Interaction Graph Kernel

通过交互图核的基简化Kolmogorov可逆性准则

Marco Antonio Cruz-dela-Rosa, Fernando Guerrero-Poblete

AI总结 针对连续时间马尔可夫链,定义交互图并通过其关联矩阵核的循环基简化Kolmogorov可逆性准则的验证,提供高效工具。

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AI中文摘要

本文中,我们为连续时间马尔可夫链定义了交互图以分析其动态结构。在某些假设下,我们证明验证Kolmogorov可逆性准则可简化为检查交互图关联矩阵核的一个循环基。这一结果为验证马尔可夫连续链的可逆性提供了高效工具。

英文摘要

In this work, we define the interaction graph for a continuous-time Markov chain to analyze its dynamic structure. Under certain assumptions, we demonstrate that verifying Kolmogorov's reversibility criterion reduces to checking it for a cycle basis of the incidence matrix kernel associated with the interaction graph. This result provides an efficient tool for verifying reversibility in Markov continuous chains.

2605.30735 2026-06-01 cond-mat.soft cs.NA math.NA physics.comp-ph

Tensor gradient flow for rod-like liquid crystals from molecular model with closure approximation by quasi-entropy

基于准熵闭合近似的分子模型棒状液晶张量梯度流

Yongyong Cai, Jie Xu, Haixin Zhang

AI总结 针对棒状液晶分子模型中的闭合近似问题,提出基于准熵的闭合近似,构建张量梯度流,保证特征值约束和能量耗散,数值模拟验证了高阶张量的影响。

Comments 25 pages, 6 figures

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AI中文摘要

在从分子模型推导出的液晶张量动力学中,一个常见问题是闭合近似。对于棒状分子,Bingham闭合已被证明优于其他方法,因为它继承了分子模型的梯度流结构,但难以在保持梯度流结构的同时实现高效计算。我们提出了一种基于准熵的闭合近似,该准熵已成功应用于自由能,并在此基础上构建了张量梯度流。准熵闭合具有与Bingham闭合相同的对称性质。由此产生的张量梯度流能够将张量的特征值约束在物理范围内,保证了由高阶张量给出的耗散算子的正定性。准熵闭合易于实现,因为它可以简化为最小化一个三元初等函数。因此,我们构建了一个保持特征值约束和能量耗散的数值格式,其中闭合近似与求解格式解耦。对向列相各向同性相与单轴向列相之间的界面以及缺陷演化进行了数值模拟,其中高阶张量确实产生了影响。

英文摘要

In tensor dynamics for liquid crystals derived from molecular models, a common problem is closure approximation. For rod-like molecules, the Bingham closure has proved to outperform other methods because it inherits the gradient flow structure of the molecular model, but is difficult to achieve efficient computations maintaining the gradient flow structure. We propose a closure approximation by the quasi-entropy that has been successfully applied to the free energy, based on which we construct the tensor gradient flow. The quasi-entropy closure has the same symmetry properties as the Bingham closure. The resulting tensor gradient flow is able to constrain the eigenvalues of the tensor within the physical range, guaranteeing the positive definiteness of the dissipation operator given by the higher-order tensors. The quasi-entropy closure is easy to implement since it can be reduced to minimizing an elementary function of three variables. As a result, we construct a numerical scheme preserving the eigenvalue constraints and energy dissipation, with the closure approximation decoupled from solving the scheme. Numerical simulations are carried out for the interface between the isotropic and the uniaxial nematic phase, as well as the defect evolutions, where the higher-order tensors indeed make a difference.

2605.30733 2026-06-01 astro-ph.SR astro-ph.GA

Weak-CN Stars Are Ordinary Cool Red Supergiants

弱CN星是普通的冷红超巨星

Yuan-Sen Ting, Puragra Guhathakurta, Douglas Grion Filho, Evan N. Kirby, Elliot M. Kim

AI总结 通过对比LMC、M33和M31中弱CN红超巨星与合成光谱模型,发现弱CN吸收是普通冷红超巨星分子平衡的预期特征,而非碳星中间体。

Comments 15 pages, 5 figures, 5 tables. Submitted to The Open Journal of Astrophysics

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AI中文摘要

最近在三个本星系群的5-10 $M_\odot$演化红超巨星(RSGs)中检测到~8000 Å附近的弱CN吸收。这些弱CN RSGs处于一个狭窄的分子状态:温度足够低,使得CN在非碳、C/O<1的大气中可见,但又足够温暖,使得TiO未饱和,并且$T_{\rm eff}$和表面C+N储库的变化使CN和TiO朝不同方向移动。我们通过从LMC、M33和M31的弱CN和碳星叠加光谱中测量的伪连续谱等值宽度(EWs)来检验这一图像,并与覆盖$T_{\rm eff}$、$[α/{\rm Fe}]$以及相对于每个宿主标度太阳基线的表面C和N偏移的自洽合成RSG大气网格进行匹配分辨率比较。普通冷RSG模型在所有三个宿主中再现了弱CN叠加光谱,每个特征的残差处于所采用的EW系统误差水平。稳健的可观测量是组合表面丰度$Δ$[C/H]+$Δ$[N/H],而非各自的偏移,因为CN由可用C和N数密度的乘积形成。通过PARSEC v2.0将$Δ$[C/H]+$Δ$[N/H]映射到初始旋转的杠杆作用有限——该变量从$ω_i$=0到$ω_i$=0.6变化约0.07 dex——在此分辨率下,慢旋转第一次挖掘与LMC和M33一致,并且与M31在允许单特征CaT 8542 Å校准锚点后一致。因此,这一发现谜团的直接解释是:弱CN不是一种奇特的碳星中间体,而是普通冷RSGs预期的分子平衡特征。

英文摘要

Weak CN absorption near ~8000 A has recently been detected in evolved red supergiants (RSGs) of 5-10 $M_\odot$ across three Local Group galaxies. These weak-CN RSGs sit in a narrow molecular regime: cool enough for CN to be visible in a non-carbon, C/O<1 atmosphere, but warm enough that TiO is not saturated and changes in $T_{\rm eff}$ and in the surface C+N reservoir move CN and TiO in distinct directions. We test this picture with pseudo-continuum equivalent widths (EWs) measured from LMC, M33, and M31 weak-CN and carbon-star coadds, compared at matched resolution to a self-consistent grid of synthetic RSG atmospheres spanning $T_{\rm eff}$, $[α/{\rm Fe}]$, and surface C and N offsets relative to each host's scaled-solar baseline. Ordinary cool-RSG models reproduce the weak-CN coadds across all three hosts, with per-feature residuals at the level of the adopted EW systematic floors. The robust observable is the combined surface abundance $Δ$[C/H]+$Δ$[N/H] rather than each offset individually, because CN forms from the product of available C and N number densities. Mapping $Δ$[C/H]+$Δ$[N/H] to initial rotation through PARSEC v2.0 has modest leverage -- the variable shifts by ~0.07 dex from $ω_i$=0 to $ω_i$=0.6 -- and within this resolution slow-rotation first dredge-up is consistent with LMC and M33, and with M31 once a single-feature CaT 8542 A calibration anchor is allowed. The straightforward resolution of the discovery puzzle is therefore that weak CN is not an exotic carbon-star intermediate but the expected molecular-equilibrium signature of ordinary cool RSGs.

2605.30732 2026-06-01 quant-ph cs.CR

How To Track Qubits Through Space and Time (Or: Sailing in a Quantum Boat)

如何在时空中追踪量子比特(或:在量子船中航行)

James Bartusek, Zikuan Huang, Leo Orshansky, Henry Yuen

AI总结 提出量子定位和轨迹验证的新概念,利用量子锚定态在经典预言机模型下实现安全的位置验证和功能定位。

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AI中文摘要

虽然量子位置验证旨在使用量子信息证明证明者的位置,但现有的安全定义仅保证成功的对手方部分位于声称的位置。这留下了一种可能性,即分布式对手团队可以联合模拟一个证明者,从而破坏位置密码学中“位于某位置”的预期含义。我们引入了更强的位置验证概念,称为量子定位,它要求在验证的时空点存在一个指定的、不可克隆的状态——并且该状态在其他任何地方都找不到。我们展示了量子定位自然导致有意义的轨迹验证概念,其中量子信息在时空中被可验证地追踪。我们使用量子锚定态构建了量子定位和轨迹验证协议,这些状态推广了不可克隆密码学中的陪集态。我们方案的安全性在经典预言机(即理想混淆)模型中得到证明,该模型可以使用后量子不可区分混淆在普通模型中启发式地实例化。我们还引入并实例化了功能定位的概念,它保证对手能够在验证的时空点计算一个秘密函数,并且该函数无法在其他任何地方计算。这引发了在时空中定位计算能力的有趣可能性。更广泛地说,我们相信我们的量子定位概念和可行性结果为位置密码学提供了更强的基础。

英文摘要

While quantum position verification aims to certify a prover's location using quantum information, existing security definitions only guarantee that part of the successful adversarial party is in the claimed location. This leaves open the possibility that a distributed team of adversaries can jointly simulate a prover in a way that defeats the intended meaning of ``being at a location'' in position-based cryptography. We introduce stronger notions of position verification that we call quantum localization, which requires that there is a specified, unclonable state at the verified spacetime point -- and that this state can be found nowhere else. We show that quantum localization leads naturally to a meaningful notion of trajectory verification, in which quantum information is verifiably tracked through space and time. We construct quantum localization and trajectory verification protocols using quantum anchor states, which generalize coset states from unclonable cryptography. The security of our schemes is proven in the classical oracle (i.e. ideal obfuscation) model, which can be heuristically instantiated in the plain model using post-quantum indistinguishability obfuscation. We also introduce and instantiate the concept of functionality localization, which guarantees that the adversary has the ability to compute a secret function at the verified spacetime point, and this function cannot be computed anywhere else. This raises the intriguing possibility of localizing computational capabilities in space and time. More broadly, we believe our notions of quantum localization and our feasibility results provide stronger foundations for position-based cryptography.

2605.30731 2026-06-01 cond-mat.mtrl-sci

A Convenient Sealing Method Using Boron Nitride Capping for Reactive Reactions

一种使用氮化硼封盖的便捷密封方法用于活性反应

Boqin Song, Tianping Ying

AI总结 针对石英管密封在含碱金属、碱土金属和稀土金属等活性元素反应中的局限性,提出一种廉价且易操作的氮化硼(BN)盖帽密封技术,通过生长KFe2As2和CsCr6Sb6单晶验证其有效性,前者残余电阻比(RRR)超过2500,后者晶体尺寸显著增大。

Comments 15 pages, 4 figures accepted by Crystal Growth & Design

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AI中文摘要

虽然石英(SiO2)安瓿密封在实验室中常用于防止合成过程中样品氧化,但其应用对于涉及高活性元素(如碱金属、碱土金属和稀土金属)的反应受到限制。这些元素在高温下会与SiO2反应,导致成分损失、管子破裂和实验不一致。在此,我们介绍一种廉价的氮化硼(BN)盖帽密封技术。该方法易于适应离心分离和助熔剂输运生长,并能产生优异的样品质量。我们通过生长KFe2As2和CsCr6Sb6单晶证明了其有效性,前者表现出创纪录的高质量,残余电阻比(RRR)超过2500,后者实现了比其他方法显著更大的晶体尺寸。这种易得且经济的方法有望加速含有活性元素的新型材料的发现。

英文摘要

While quartz (SiO2) ampule sealing is commonly used in laboratories to prevent sample oxidation during synthesis, its application is limited for reactions involving highly reactive elements such as alkali, alkaline-earth, and rare-earth metals. These elements can react with SiO2 at elevated temperatures, causing compositional loss, tube failure, and experimental inconsistencies. Here, we introduce an inexpensive boron nitride (BN) cap sealing technique. This approach is readily adaptable to centrifugal separation and flux transport growth and yields superior sample quality. We demonstrate its efficacy by growing KFe2As2 and CsCr6Sb6 single crystals, the former exhibiting record-high quality, with a residual resistivity ratio (RRR) exceeding 2500, and the latter achieving significantly larger crystal dimensions than other methods. This accessible and economical method promises to accelerate the discovery of novel materials that contain reactive elements.

2605.30726 2026-06-01 math.AG

The singular locus of a GL-variety

GL-簇的奇异轨迹

Christopher Heng Chiu, Alessandro Danelon, Andrew Snowden

AI总结 本文研究了GL-簇的奇异轨迹,给出了若干内蕴刻画,证明了候选定义的正确性并阐明了奇异点的几何意义。

Comments 23 pages

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AI中文摘要

一个$\mathbf{GL}$-簇是一个(通常)无限维的簇$X$,配备了无限一般线性群的作用。在前两位作者与Draisma最近的工作中,提出了$X$的奇异轨迹的一个候选定义。那里的方法利用了与$X$相关的辅助有限维簇。在本文中,我们给出了奇异轨迹的若干内蕴于$X$的刻画。这项工作表明该候选定义显然是正确的,并有助于阐明奇异点的几何意义。

英文摘要

A $\mathbf{GL}$-variety is a (typically) infinite dimensional variety $X$ equipped with an action of the infinite general linear group. In recent work of the first two authors with Draisma, a candidate definition for the singular locus of $X$ was put forth. The approach there made use of auxiliary finite dimensional varieties associated to $X$. In this paper, we give a number of characterizations of the singular locus that are intrinsic to $X$. This work shows that the candidate definition is clearly correct, and helps clarify the geometric meaning of singular points.

2605.30725 2026-06-01 nlin.SI

Lie symmetry classification and group invariant solutions of generalized radial heat equation with nonlinear reaction source

具有非线性反应源的广义径向热方程的Lie对称性分类与群不变解

Manjit Singh, Radhika

AI总结 本文对径向几何中带有反应源项的广义非线性热方程进行Lie对称性分类,识别出可扩展对称代数的子类,并构造相似约化与精确群不变解。

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AI中文摘要

本文对径向几何中带有反应源项的广义非线性热方程进行了Lie对称性分类。该模型涉及三个任意本构函数,分别代表热容量、热导率和非线性热产生或吸收。利用经典Lie不变性准则,推导了点对称性的决定方程,并通过涉及本构函数比值的适当变换进行简化。分类识别出几个可允许的子类,其中主对称代数得到扩展,包括与径向参数特殊值相关的幂律和对数分支。对于这些情况,得到了允许的Lie代数、交换子结构以及一维子代数的最优系统。构造了相应的相似约化,将控制偏微分方程简化为非线性常微分方程。还针对特殊参数选择推导了一些精确的群不变解。结果表明,与无源径向热方程相比,非线性源项的引入显著丰富了对称性结构。

英文摘要

This work presents a Lie symmetry classification of a generalized nonlinear heat equation with a reaction source term in radial geometry. The model involves three arbitrary constitutive functions that represent thermal capacity, thermal conductivity, and nonlinear heat generation or absorption. Using the classical Lie invariance criterion, the determining equations for point symmetries are derived and simplified through suitable transformations involving the ratios of the constitutive functions. The classification identifies several admissible subclasses for which the principal symmetry algebra is extended, including power-law and logarithmic branches associated with special values of the radial parameter. For these cases, the admitted Lie algebras, commutator structures, and optimal systems of one-dimensional subalgebras are obtained. The corresponding similarity reductions are constructed, reducing the governing partial differential equation to nonlinear ordinary differential equations. Some exact group-invariant solutions are also derived for special parameter choices. The results show that the inclusion of the nonlinear source term significantly enriches the symmetry structure compared with the source-free radial heat equation.

2605.30724 2026-06-01 quant-ph

Research progress on quantum neural networks and quantum machine learning

量子神经网络与量子机器学习研究进展

Yifan Sun, Boyuan Sun, Jiameng Tian, Xiangdong Zhang

AI总结 本文综述了多种量子神经网络方法,包括全连接QNN、量子卷积神经网络、等变QNN、量子Hopfield网络、量子玻尔兹曼机、量子储层计算以及用于量子强化学习、量子生成学习和量子迁移学习的复合网络,并总结了它们在学习精度、训练时间和资源需求等方面的性能。

Comments 47 pages, 8 figures

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AI中文摘要

机器学习具有基础性的计算意义,因为对数据分析、模式识别和优化等复杂任务的高效解决方案的需求日益增长,这些对于应对现代社会的多方面挑战至关重要。随着数据量以前所未有的速度激增,对更强大机器学习策略的需求变得越来越明显。量子神经网络(QNN)代表了一个新兴且变革性的研究领域,旨在利用量子力学的独特原理来增强机器学习算法的能力。本综述考察了多种QNN方法,包括全连接QNN、量子卷积神经网络、等变QNN、量子Hopfield网络、量子玻尔兹曼机、量子储层计算以及用于量子强化学习、量子生成学习和量子迁移学习的复合网络。我们总结了关于其性能的相关研究,包括学习精度、训练时间和资源需求等。每种QNN类型都有独特的优势和劣势,为不同应用提供了多样化的解决方案。

英文摘要

Machine learning holds fundamental computational significance due to the increasing demand for efficient solutions to complex tasks in data analysis, pattern recognition, and optimization, which are essential for addressing the multifaceted challenges of modern society. As the volume of data proliferates at an unprecedented rate, the need for more powerful machine learning strategies becomes increasingly evident. Quantum neural networks (QNNs) represent an emerging and transformative research field that seeks to harness the unique principles of quantum mechanics to enhance the capabilities of machine learning algorithms. This survey examines various QNN approaches, including fully connected QNNs, quantum convolutional neural networks, equivariant QNNs, quantum Hopfield networks, quantum Boltzmann machines, quantum reservoir computing, and composite networks for quantum reinforcement learning, quantum generative learning, and quantum transfer learning. We summarize the relevant investigations on their performance, including learning accuracy, training time, and resource requirements, etc. Each QNN type has unique strengths and weaknesses, offering diverse solutions for different applications.

2605.30721 2026-06-01 physics.ao-ph physics.geo-ph

Testing the physical reality of tidal bulges in the world's oceans

测试世界海洋潮汐隆起的物理真实性

Yongfeng Yang, Jiajia Yuan, Mingyuan Fan

AI总结 通过分析AVISO Jason-3卫星2021年362,370个海洋位置的潮汐模式,发现双水隆起模型预测的隆起区域低潮多于高潮,而凹陷区域高潮多于低潮,与模型预期矛盾,质疑了潮汐隆起的物理存在性。

Comments 18 pages, 6 figures, 1 table. Sci. China Earth Sci. (2026)

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AI中文摘要

沿海和海洋区域高低潮的持续交替几千年来一直吸引着人类的注意。这种水的运动通常通过双水隆起模型来解释。尽管自18世纪以来该模型已被广泛采用于潮汐科学文献中,但地球表面水隆起的物理存在性尚未得到验证。在此,我们建立了一个依赖于月球角度相位的统计分析方法,对AVISO的Jason-3卫星在2021年观测到的362,370个海洋位置的潮汐模式进行分析,以解决这一问题。我们显示,在月球角度相位0°-45°和135°-180°期间(空间上对应于双水隆起模型预期的水隆起区域),低潮数量始终超过高潮数量。相反,在月球角度相位45°-135°期间(空间上对应于模型预期的水凹陷区域),高潮数量主要超过低潮数量。这些发现明显与世界海洋中存在两个水隆起的物理真实性相矛盾,表明科学界应更多关注潮汐的替代解释,如引力强迫机制和海洋盆地振荡驱动的机制。

英文摘要

Persistent alternation of high and low water in coastal and oceanic regions has attracted human attention for millennia. This movement of water is generally explained through the double water bulge model. Although this model has been widely adopted in the scientific literature on tides since the 18th century, the physical existence of water bulges on the Earth's surface has yet to be verified. Herein, we establish a lunar angle phase-dependent statistical analysis of tide patterns at 362,370 oceanic locations spotted by Jason-3 satellite of AVISO in 2021 to address this issue. We show that during lunar angle phases of 0 degree-45 degree and 135 degree-180 degree, which spatially correspond to the water bulging regions expected in the double water bulge model, the number of low tides consistently exceeds that of high tides. Conversely, during lunar angle phase of 45 degree-135 degree, which spatially correspond to the water-depressing region expected in the model, high tides predominantly outnumber low tides. These findings evidently contradict the physical existence of two water bulges in the world's oceans, suggesting that the scientific community should pay additional attention to alternative explanations for tides, such as gravitational forcing mechanism and oceanic basin oscillation-generated driving mechanism.

2605.30718 2026-06-01 econ.EM stat.ME stat.ML

Moment-Based Inference for Regression with Latent Dirichlet Covariates

基于矩的潜狄利克雷协变量回归推断

Ziyu Jiang

AI总结 针对回归前使用主题模型降维导致的推断困难,提出一种基于校正谱矩的方法,直接识别回归系数β,避免估计文档级主题份额,并通过可交换性条件估计未知总浓度α0,实现有效推断。

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AI中文摘要

主题模型常被用作回归前的降维工具,将估计的文档级主题份额视为观测协变量。这种插件式工作流程产生了两个推断困难:有效推断需要规则的第一阶段到第二阶段展开以传播主题估计不确定性,并且在固定文档长度下,即使已知总体主题矩阵,文档的主题混合也无法从其自身词汇中一致恢复。潜狄利克雷分配(LDA)的校正谱矩方法提供了一个起点:当总狄利克雷浓度已知时,低阶词矩可被校正以得到在潜主题基上对角的算子。我们将其扩展到下游回归。在有限LDA模型下,当响应残差与用于识别的低阶词矩正交时,响应加权词矩允许相同的校正,由此得到的监督算子直接识别回归系数β,无需估计文档级主题份额。主要障碍在于校正依赖于未知总浓度α0。我们证明,对于k≥3个主题且在一般有限探针条件下,α0通过可交换性识别:在真实值处,一族校正词矩算子可交换,而在偏离时通常不可交换。这产生了可行的估计量,并让α̂0的不确定性传播到β的推断中。该估计量在文档数量增长而文档长度固定时是渐近线性的,其标准误差来自文档级矩贡献的夹心估计。模拟显示,在插件式主题份额回归可能覆盖不足的情况下,该方法具有接近名义水平的覆盖率;对顶级经济学期刊的应用说明了潜主题效应的对比推断。

英文摘要

Topic models are often used as dimension-reduction tools before regression, with estimated document-level topic shares treated as observed covariates. This plug-in workflow creates two inferential difficulties: valid inference requires a regular first-stage-to-second-stage expansion that propagates topic-estimation uncertainty, and, at fixed document length, a document's topic mixture cannot be consistently recovered from its own words even when the population topic matrix is known. Corrected spectral moment methods for latent Dirichlet allocation (LDA) offer a starting point: when the total Dirichlet concentration is known, low-order word moments can be corrected to yield operators diagonal in the latent topic basis. We extend this to downstream regression. Under a finite LDA model with response residuals orthogonal to the low-order token moments used for identification, response-weighted word moments admit the same correction, and the resulting supervised operator identifies the regression coefficient $β$ directly, without estimating document-level topic shares. The main obstacle is that the correction depends on the unknown total concentration $α_0$. We show that, for $k\ge3$ topics and under a generic finite-probe condition, $α_0$ is identified by commutativity: at the true value a family of corrected word-moment operators commute, whereas away from it they generically do not. This yields a feasible estimator and lets uncertainty in $\hatα_0$ propagate into inference for $β$. The estimator is asymptotically linear as the number of documents grows with fixed document length, with sandwich standard errors from document-level moment contributions. Simulations show near-nominal coverage where plug-in topic-share regressions can undercover, and an application to top economics journals illustrates contrast inference for latent topic effects.

2605.30715 2026-06-01 cond-mat.str-el

Non-Perturbative Renormalization Group for Ising-Nematic Criticality: A Closed-Form Nonlocal Ansatz

Ising向列临界性的非微扰重整化群:一个闭式非局域Ansatz

Hyeon Jung Kim, Kyoung-Min Kim, Ki-Seok Kim

AI总结 针对二维金属Ising向列量子临界点,提出非微扰重整化群分析,通过三圈计算揭示费米子自能和Yukawa顶点存在对数修正而玻色子抵消项为零,导致自洽临界指数解不存在,并推测四圈图提供最小抵消项。

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AI中文摘要

二维金属量子临界问题是一个长期存在的难题,被广泛认为是解决强关联电子系统中普遍存在的非费米液体行为的关键。在本研究中,我们提出了二维金属Ising向列量子临界点的非微扰重整化群(RG)分析,直接围绕一个本质非局域的红外(IR)玻色子传播子进行构建。我们不将反常动力学临界指数$a$视为固定的唯象参数,而是将其视为固定点数据的内在组成部分,通过低能patch场论在高度各向异性标度维度($[k_0]=a+1$,$[k_x]=2$,$[k_y]=1$)下的内部一致性来确定。虽然由于运动学极点配置,领先的两圈图贡献恒为零,但我们的三圈计算揭示了扇区之间深刻的结构不对称性:费米子自能和Yukawa顶点接收到非零的对数修正,而相应的玻色子抵消项严格为零。因此,我们发现三圈截断内不存在指数$a$的自洽相交固定点解,无法重现量子蒙特卡洛模拟中观测到的物理值$a \approx 1.85$。我们推测四圈玻色子自能图的交叉连接拓扑是恰好边缘的,并提供了恢复多扇区自洽性所需的最小强制性玻色子抵消项。我们的框架建立了一个严格的多圈匹配方案,以唯一确定临界指数,并揭示了场反常维度的稳定相空间。

英文摘要

The two-dimensional metallic quantum critical problem is a long-standing puzzle that is widely believed to hold the key to resolving ubiquitous non-Fermi liquid behavior in strongly correlated electronic systems. In this study, we present a non-perturbative renormalization group (RG) analysis of the metallic Ising-nematic quantum critical point in two dimensions, formulated directly around an intrinsically nonlocal infrared (IR) boson propagator. Rather than treating the anomalous dynamical critical exponent $a$ as a fixed phenomenological parameter, we regard it as an intrinsic component of the fixed-point data to be determined from the internal consistency of the low-energy patch field theory under highly anisotropic scaling dimensions ($[k_0]=a+1$, $[k_x]=2$, $[k_y]=1$). While the leading two-loop diagrammatics vanish identically due to kinematic pole configurations, our three-loop evaluation reveals a profound structural asymmetry between the sectors: the fermion self-energy and Yukawa vertex receive non-vanishing logarithmic corrections, whereas the corresponding bosonic counter-term remains strictly zero. Consequently, we find that no self-consistent, intersecting fixed-point solution for the exponent $a$ exists within the three-loop truncation, failing to reproduce the physical value of $a \approx 1.85$ observed in quantum Monte Carlo simulations. We conjecture that the cross-linked topology of the four-loop boson self-energy diagrams is exactly marginal and yields the minimal, mandatory bosonic counter-term required to restore multi-sector self-consistency. Our framework establishes a rigid multi-loop matching scheme necessary to uniquely pin down the critical exponent, and uncovers a stable phase space for field anomalous dimensions.

2605.30709 2026-06-01 physics.ins-det hep-ex

Characterizing the energy resolution of the MicroBooNE LArTPC at the MeV scale using monoenergetic features of $^{208}$Tl decays

利用$^{208}$Tl衰变的单能特征表征MicroBooNE LArTPC在MeV尺度的能量分辨率

MicroBooNE collaboration, P. Abratenko, D. Andrade Aldana, J. Asaadi, A. Ashkenazi, S. Balasubramanian, B. Baller, A. Barnard, G. Barr, D. Barrow, J. Barrow, V. Basque, J. Bateman, B. Behera, O. Benevides Rodrigues, S. Berkman, A. Bhat, M. Bhattacharya, V. Bhelande, A. Binau, M. Bishai, A. Blake, B. Bogart, T. Bolton, M. B. Brunetti, L. Camilleri, D. Caratelli, F. Cavanna, G. Cerati, A. Chappell, Y. Chen, J. M. Conrad, M. Convery, L. Cooper-Troendle, J. I. Crespo-Anadon, R. Cross, M. Del Tutto, S. R. Dennis, P. Detje, R. Diurba, Z. Djurcic, K. Duffy, S. Dytman, B. Eberly, P. Englezos, A. Ereditato, J. J. Evans, C. Fang, B. T. Fleming, W. Foreman, D. Franco, A. P. Furmanski, F. Gao, D. Garcia-Gamez, S. Gardiner, G. Ge, S. Gollapinni, E. Gramellini, P. Green, H. Greenlee, L. Gu, W. Gu, R. Guenette, L. Hagaman, M. D. Handley, O. Hen, A. Hergenhan, M. Harrison, S. Hawkins, C. Hilgenberg, G. A. Horton-Smith, A. Hussain, B. Irwin, M. S. Ismail, C. James, X. Ji, J. H. Jo, A. Johnson, R. A. Johnson, D. Kalra, G. Karagiorgi, W. Ketchum, A. Kelly, M. Kirby, T. Kobilarcik, K. Kumar, N. Lane, J. -Y. Li, Y. Li, K. Lin, B. R. Littlejohn, L. Liu, S. Liu, W. C. Louis, X. Luo, T. Mahmud, N. Majeed, C. Mariani, J. Marshall, D. A. Martinez Caicedo, F. Martinez Lopez, M. G. Manuel Alves, S. Martynenko, A. Mastbaum, I. Mawby, N. McConkey, B. McConnell, L. Mellet, J. Mendez, J. Micallef, T. Mohayai, A. Mogan, M. Mooney, A. F. Moor, C. D. Moore, L. Mora Lepin, M. A. Hernandez Morquecho, M. M. Moudgalya, S. Mulleria Babu, D. Naples, A. Navrer-Agasson, N. Nayak, M. Nebot-Guinot, C. Nguyen, L. Nguyen, J. Nowak, N. Oza, O. Palamara, N. Pallat, V. Paolone, A. Papadopoulou, V. Papavassiliou, H. Parkinson, S. F. Pate, N. Patel, Z. Pavlovic, E. Piasetzky, K. Pletcher, I. Pophale, X. Qian, J. L. Raaf, V. Radeka, A. Rafique, M. Reggiani-Guzzo, J. Rodriguez Rondon, M. Rosenberg, M. Ross-Lonergan, I. Safa, C. Sauer, D. W. Schmitz, A. Schukraft, W. Seligman, M. H. Shaevitz, R. Sharankova, J. Shi, L. Silva, E. L. Snider, S. Soldner-Rembold, J. Spitz, M. Stancari, J. St. John, T. Strauss, A. M. Szelc, N. Taniuchi, K. Terao, C. Thorpe, D. Torbunov, D. Totani, M. Toups, A. Trettin, Y. -T. Tsai, J. Tyler, M. A. Uchida, T. Usher, B. Viren, J. Wang, L. Wang, M. Weber, H. Wei, A. J. White, S. Wolbers, T. Wongjirad, K. Wresilo, W. Wu, E. Yandel, T. Yang, L. E. Yates, H. W. Yu, G. P. Zeller, J. Zennamo, C. Zhang, Y. Zhang

AI总结 本文利用$^{208}$Tl衰变产生的2.614 MeV γ射线在探测器中的成对产生信号,首次测量了MicroBooNE LArTPC在约1.5 MeV的能量分辨率,结果为(7.52 ± 0.78(统计) ± 0.92(系统))%,与模拟预测一致。

Comments 15 pages, 9 figures, and 2 tables

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AI中文摘要

详细理解低能量重建的能力和保真度对于利用液氩时间投影室(LArTPC)中的MeV尺度中微子物理机遇至关重要。本研究展示了MicroBooNE LArTPC在约1.5 MeV能量下重建能量分辨率的测量。该表征利用来自$^{208}$Tl衰变的2.614 MeV γ射线在探测器中发生成对产生时产生的单能信号。测得的分辨率为(7.52 ± 0.78(统计) ± 0.92(系统))%。该值与MicroBooNE模拟预测的(9.70 ± 0.65(统计))%在1.6 σ水平上一致。这项研究代表了首次在MeV尺度上测量LArTPC能量分辨率,并为未来使用LArTPC探测器的实验中的单能能量校准提供了途径。

英文摘要

A detailed understanding of the capabilities and fidelity of low-energy reconstruction is crucial for taking advantage of MeV-scale neutrino physics opportunities in liquid argon time projection chambers (LArTPCs). This study presents a measurement of the resolution of reconstructed energy in the MicroBooNE LArTPC at $\approx 1.5$ MeV. The characterization is performed using monoenergetic signals generated by $2.614$ MeV $γ$-rays from $^{208}$Tl decays undergoing pair production in the detector. The resolution is found to be ($7.52 \pm 0.78 \text{(stat)} \pm 0.92 \text{(syst)}$)%. This value is consistent with the MicroBooNE simulation prediction of ($9.70 \pm 0.65 \text{(stat)}$)% at the $1.6 σ$ level. This study represents the first ever measurement of LArTPC energy resolution at the MeV scale and provides a pathway for monoenergetic energy calibrations in future experiments using LArTPC detectors.

2605.30708 2026-06-01 nlin.CG cs.NE nlin.AO

Agnosiophobia in a virtual agent: behavioral and dynamical architecture in Lenia

虚拟智能体中的未知恐惧:Lenia中的行为与动力学架构

Jesse Cool, Benedikt Hartl, Michael Levin, Samantha Petti

AI总结 本研究通过在Lenia环境中引入无感知区域,发现虚拟生物倾向于回避这些区域(称为未知恐惧),并通过动力学系统分析揭示其行为源于形态维持这一更根本的目标。

Comments 8 pages, 6 figures; under review at ALIFE 2026

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AI中文摘要

所有具身智能体本质上都是生理或其他可激介质中的模式,模糊了对象与过程之间的界限。具有复杂行为的涌现模式,例如生命游戏中的滑翔机和Lenia中的虚拟模式,是理解新型智能体行为特征属性与起源的强大模型系统。为了评估Lenia中模式的行为,我们在其环境中引入了无法获取感官信息的区域——实际上使生物对其部分环境视而不见。作为信息趋向(infotaxis)传统概念的补充,我们发现生物倾向于回避这些区域,我们将这种行为称为未知恐惧(agnosiophobia)。为了解释这种行为,我们绘制了每个测试生物对定向遮挡的敏感性,并用动力学系统的语言解释结果。我们观察到Lenia生物利用其改变航向的自由度,以实现一个看似更基本的目标:维持其形态。这项工作展示了理解涌现智能体的行为倾向如何与其世界的信息地形(而不仅仅是物质地形)相互作用的重要路线图的起点。

英文摘要

All embodied agents are fundamentally patterns in physiological or other excitable media, blurring the distinction between objects and processes. Emergent patterns with complex behaviors, such as Gliders in the Game of Life and virtual patterns in Lenia, are powerful model systems in which to understand the properties and origins of behavioral traits in novel agents. To evaluate the behavior of patterns in Lenia, we introduce regions into their environment from which no sensory information is available - in effect, making creatures blind to parts of their surroundings. Complementing the conventional concept of infotaxis, we find that creatures tend to avoid these regions, a behavior we term agnosiophobia. To explain this behavior, we map each test creature's sensitivity to targeted occlusions and interpret the results in the language of dynamical systems. We observe Lenia creatures taking advantage of their freedom to change heading in order to achieve what appears to be a more fundamental goal: the preservation of their morphology. This work illustrates the beginning of an important roadmap to understand how emergent agents' behavioral propensities interact with the informational, not only tangible, topography of their world.

2605.30707 2026-06-01 math.PR math-ph math.MP

Sharp behavior of the free energy for the two-dimensional directed polymer model

二维有向聚合物模型自由能的尖锐行为

Quentin Berger, Shuta Nakajima

AI总结 研究二维有向聚合物模型在高温区间的自由能下界,通过引入有界“对数能量”性质并利用渗流论证,得到自由能负值随β→0指数衰减的精确阶。

Comments 17 pages, 1 figure

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AI中文摘要

我们考虑在$\mathbb{Z}^d$上的有向聚合物模型,环境为独立同分布的随机环境$\omega=(\omega_{n,x})_{n\geq 0,x\in\mathbb Z^d}$,重点关注临界维度$d=2$。我们的主要贡献是给出了高温区间自由能的一个尖锐下界。证明使用了受Lacoin (2010)启发的渗流论证,为此我们引入了有界“$\log$-能量”这一关键性质:该性质量化了聚合物测度在扩散尺度上的正则性,并且我们证明它沿着开放路径传播。记$\mathfrak{f}(eta)$为淬火自由能,并设$\lambda(eta):=\log \mathbb E[e^{eta\omega_{1,0}}]$和$\sigma(eta)^2:=e^{\lambda(2eta)-2\lambda(eta)}-1$,我们的下界结合Berger, Caravenna, 和Turchi (2025)的定理2.8给出 $$ -\mathfrak{f}(eta) \asymp \exp{\Big(- rac\pi{\sigma^2(eta)}\Big)},\quad ext{当 $eta\downarrow 0$时。} $$

英文摘要

We consider the directed polymer model on $\mathbb{Z}^d$, in an i.i.d.\ random environment $ω=(ω_{n,x})_{n\geq 0,x\in\mathbb Z^d}$, focusing on the critical dimension $d=2$. Our main contribution is to give a sharp lower bound on the free energy in the high-temperature regime. Our proof uses a percolation argument inspired by Lacoin (2010), for which we introduce a key property of bounded ``$\log$-energy'': this property quantifies the regularity of the polymer measures at diffusive scales and we show that it propagates along open paths. Writing $\mathfrak{f}(β)$ for the quenched free energy, and setting $λ(β):=\log \mathbb E[e^{βω_{1,0}}]$ and $σ(β)^2:=e^{λ(2β)-2λ(β)}-1$, our lower bound combined with Theorem 2.8 of Berger, Caravenna, and Turchi (2025) gives $$ -\mathfrak{f}(β) \asymp \exp{\Big(- \fracπ{σ^2(β)}\Big)},\quad \text{ as $β\downarrow 0$.} $$

2605.30704 2026-06-01 cond-mat.other

Nonlinear Schrodinger Equations for Dense Bose Fluid and He4 Film at Low Temperatures

低温下稠密玻色流体和He4薄膜的非线性薛定谔方程

Vladimir I. Kruglov

AI总结 基于哈特里-福克含时平均场理论,推导了推广Gross-Pitaevskii方程的非线性薛定谔方程,用于描述低温稠密玻色流体和超流He4薄膜,并得到声子-旋子色散关系。

Comments 12 pp

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AI中文摘要

我们推导了推广稀薄玻色气体Gross-Pitaevskii (GP)方程的非线性薛定谔方程。该推导基于具有任意分子间相互作用势的哈特里-福克含时平均场理论。结果表明,通过适当重新定义系数,所得非线性薛定谔方程可用于描述低温下的稠密玻色流体。我们还给出了描述二流体流体动力学中氦超流分量的薛定谔型方程。该方法为二流体流体动力学中的超流速度分量引入了量子修正。我们还推导了低温下超流He4薄膜的非线性薛定谔方程。结果表明,该超流He4薄膜的薛定谔型方程给出了低温下基本激发的声子-旋子色散关系。

英文摘要

We have derived the nonlinear Schrodinger equation generalizing the Gross-Pitaevskii (GP) equa tion for dilute Bose gas. The derivation is based on the Hartree-Fock time-dependent mean-field theory with an arbitrary intermolecular interaction potential. It is shown that obtained nonlinear Schrodinger equation with appropriate redefinition of coefficients can be used for description of dense Bose fluid at low temperatures. We also present the Schrodinger type equation describing the superfluid component of helium in two fluid hydrodynamics. This approach leads to quantum correction for superfluid component of velocity in two fluid hydrodynamics. We also have derived the nonlinear Schrodinger equation for superfluid He4 film at low temperatures. It is shown that this Schrodinger type equation for superfluid He4 film leads to phonon-roton dispersion relation for elementary excitation at low temperatures.

2605.30703 2026-06-01 physics.optics

Mid-infrared single-pixel imaging at the single-photon level

单光子级中红外单像素成像

Yinqi Wang, Kun Huang, Jianan Fang, Ming Yan, E Wu, Heping Zeng

AI总结 利用非线性结构检测和上转换探测,结合压缩感知与深度学习算法,实现了单光子灵敏度的中红外单像素成像。

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Journal ref
Nature Communications 14, 1073 (2023)
AI中文摘要

单像素相机因其成本低、耐用性好,近年来成为多像素传感器的有前景替代方案,特别适用于工业检测和生物医学诊断等中红外成像应用。迄今为止,中红外单像素光子稀疏成像尚未实现,这迫切需要高灵敏度光学探测器和高保真空间调制器。在此,我们展示了一种使用单元素硅探测器的中红外单光子计算成像。其基本方法依赖于非线性结构检测,通过和频生成将编码的时间变化泵浦图案光学印刻到中红外物体图像上。同时,中红外辐射被光谱转换到可见光区域,从而实现红外单光子上转换探测。然后,利用压缩感知和深度学习的高级算法,我们能够在亚奈奎斯特采样和光子匮乏照明下重建中红外图像。所提出的单像素上转换成像范式具有单像素简单性、单光子灵敏度和室温操作的特点,这将为在更长红外波长或太赫兹频率下进行灵敏成像开辟新途径,而这些波段通常难以获得高灵敏度光子计数器和高保真空间调制器。

英文摘要

Single-pixel cameras have recently emerged as promising alternatives to multi-pixel sensors due to reduced costs and superior durability, which are particularly attractive for mid-infrared (MIR) imaging pertinent to applications including industry inspection and biomedical diagnosis. To date, MIR single-pixel photon-sparse imaging has yet been realized, which urgently calls for high-sensitivity optical detectors and high-fidelity spatial modulators. Here, we demonstrate a MIR single-photon computational imaging with a single-element silicon detector. The underlying methodology relies on nonlinear structured detection, where the encoded time-varying pump patterns are optically imprinted onto the MIR object image through sum-frequency generation. Simultaneously, the MIR radiation is spectrally translated into the visible region, thus permitting infrared single-photon upconversion detection. Then, the use of advanced algorithms of compress sensing and deep learning allows us to reconstruct MIR images under sub-Nyquist sampling and photon-starving illumination. The presented paradigm of single-pixel upconversion imaging is featured with single-pixel simplicity, single-photon sensitivity, and room-temperature operation, which would establish a new path for sensitive imaging at longer infrared wavelengths or terahertz frequencies, where high-sensitivity photon counters and high-fidelity spatial modulators are typically hard to access.

2605.30702 2026-06-01 physics.optics

Mid-infrared single-photon 3D imaging

中红外单光子三维成像

Jianan Fang, Kun Huang, E Wu, Ming Yan, Heping Zeng

AI总结 提出一种基于非线性频率上转换的单光子灵敏度和飞秒时间分辨率的中红外飞行时间成像系统,实现低光条件下的三维结构重建和反射率获取。

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Journal ref
Light, Science & Applications 12, 144 (2023)
AI中文摘要

能够获取三维结构和反射率信息的主动中红外成像器在生物医学和工业应用中极具吸引力。然而,由于缺乏灵敏且快速的中红外传感器,低光条件下的红外三维成像仍然具有挑战性。本文提出并实现了一种具有单光子灵敏度和飞秒时间分辨率的中红外飞行时间成像系统。具体而言,场景后向散射的红外光子通过延迟控制的超短泵浦脉冲经非线性频率上转换进行光学选通。然后,带有时间戳的上转换图像由硅相机记录,以实现高横向和深度分辨率的三维重建。此外,基于时空相关性的有效数值去噪器使我们能够在检测通量低于0.05光子/像素/秒的光子匮乏条件下揭示物体轮廓和反射率。所提出的中红外三维成像器具有高探测灵敏度、精确时间分辨率和宽场操作的特点,可能为生命和材料科学开辟新的可能性。

英文摘要

Active mid-infrared (MIR) imagers capable of retrieving three-dimensional (3D) structure and reflectivity information are highly attractive in a wide range of biomedical and industrial applications. However, the infrared 3D imaging at low-light levels is still challenging due to the deficiency of sensitive and fast MIR sensors. Here we propose and implement a MIR time-of-flight imaging system that operates at single-photon sensitivity and femtosecond timing resolution. Specifically, back-scattered infrared photons from a scene are optically gated by delay-controlled ultrashort pump pulses through nonlinear frequency upconversion. The upconverted images with time stamps are then recorded by a silicon camera to facilitate the 3D reconstruction with high lateral and depth resolutions. Moreover, an effective numerical denoiser based on spatiotemporal correlation allows us to reveal the object profile and reflectivity under photon-starving conditions with a detected flux below 0.05 photons/pixel/second. The presented MIR 3D imager features with high detection sensitivity, precise timing resolution, and wide-field operation, which may open new possibilities in life and material sciences.

2605.30701 2026-06-01 physics.optics

High-speed mid-infrared single-photon upconversion spectrometer

高速中红外单光子上转换光谱仪

Tingting Zheng, Kun Huang, Ben Sun, Jianan Fang, Yongyuan Chu, Hairun Guo, E Wu, Ming Yan, Heping Zeng

AI总结 通过集成超连续谱光源和非线性频率上转换,实现了宽带、单光子灵敏度和亚MHz刷新率的中红外光谱仪,速度比传统FTIR快约十倍。

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Journal ref
Laser & Photonics Reviews 17, 2300149 (2023)
AI中文摘要

灵敏且快速的中红外光谱在天文观测、药物合成和环境监测等多种应用中极具吸引力。然而,传统中红外光谱仪的性能长期以来受到窄带隙探测器有限灵敏度和/或宽带光源亮度不足的制约。本文设计并实现了一种超灵敏、宽带的中红外上转换光谱仪,该光谱仪集成了基于氮化硅纳米光子波导、覆盖1.5-4.2 μm的超连续谱光源。基于光谱-时间优化的符合脉冲泵浦实现了高效、低噪声的非线性频率上转换,从而能够利用硅探测器实现0.2光子/纳米/脉冲的中红外单光子光谱。此外,基于上转换的阵列光谱仪实现了超过200 kHz的高速光谱采集速率,在可比光谱分辨率下,比基于FTIR的光谱仪的最先进扫描速率快约十倍。所实现的宽带光谱覆盖、单光子灵敏度和亚MHz刷新率等特性,可能为燃烧分析、高通量分选和反应跟踪等领域的红外瞬态光谱测量开辟新的可能性。

英文摘要

Sensitive and fast mid-infrared (MIR) spectroscopy is highly attractive in a variety of applications including astronomical observation, pharmaceutical synthesis, and environmental monitoring. However, the performance of conventional MIR spectrometers has long been hindered by the limited sensitivity of narrow-bandgap detectors and/or the deficient brightness of broadband light sources. Here, we devise and implement an ultra-sensitive and broadband MIR upconversion spectrometer, which integrates a supercontinuum source covering 1.5-4.2 $μ$m based on a silicon nitride nanophotonic waveguide. High-efficiency and low-noise nonlinear frequency upconversion is realized based on coincidence pulsed pumping with spectro-temporal optimization, which enables to leverage silicon detectors for facilitating MIR single-photon spectroscopy at 0.2 photons/nm/pulse. Furthermore, the upconversion-based array spectrometer is manifested with high-speed spectral acquisition rates beyond 200 kHz, which is about ten-fold faster than the state-of-the-art scan rates for FTIR-based spectrometers at a comparable spectral resolution. The achieved features of broadband spectral coverage, single-photon sensitivity, and sub-MHz refreshing rate might open up new possibilities in infrared transient spectral measurements in combustion analysis, high-throughput sorting and reaction tracking, among others.

2605.30697 2026-06-01 cs.CR cs.SE

FASR: Automated Identification of Unsafe Control Actions in STPA

FASR:STPA中不安全控制动作的自动识别

Ian Dardik, Yining She, Sam Procter, Keaton Hanna, Lutz Wrage, Eunsuk Kang

AI总结 提出FASR工具,利用模型工程和形式化方法结合鲁棒性分析,自动识别STPA中的不安全控制动作,并通过案例研究和用户实验验证其有效性。

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AI中文摘要

系统理论过程分析(STPA)是一种成熟的危险分析技术,已广泛应用于各种安全关键系统。尽管其流行,但STPA的自动化支持相对较少,大多数步骤由人工分析师手动执行,这既耗时又容易出错。本文研究了基于模型的工程和形式化方法在辅助人工分析师高效、准确执行STPA方面的潜在用途。提出的工具称为FASR(形式化与自动化STPA结合鲁棒性),利用鲁棒性分析的最新进展,自动、完整地识别不安全控制动作(UCA),将其视为控制器动作中的不良偏差。该工具的使用通过一个涉及航空电子系统中制动系统控制单元(BSCU)的案例研究进行了演示。作为对工具潜在优势和局限性的初步探索,本文报告了一项涉及九名参与者的用户研究,这些参与者在STPA、基于模型的工程和形式化方法方面具有不同背景;研究发现,大多数参与者认为该工具有助于识别UCA,同时提出了改进建议,以使FASR这样的工具可用于更广泛的系统和分析师。

英文摘要

The System-Theoretic Process Analysis (STPA) is a well-established hazard analysis technique that has been applied to a wide range of safety-critical systems. Despite its popularity, there is relatively little automation support for STPA, and most of its steps are carried out manually by a human analyst, which can be time consuming and error prone. This paper investigates the potential use of model-based engineering and formal methods to assist human analysts in efficiently and accurately carrying out STPA. The proposed tool, called FASR (Formalizing and Automating STPA with Robustness), enables automated, complete identification of unsafe control actions (UCAs), leveraging recent advances in robustness analysis to identify UCAs as undesirable deviations in the controller's actions. The use of the tool is demonstrated on a case study involving a Braking System Control Unit (BSCU) in an avionics system. As a preliminary exploration of the potential benefits and limitations of the tool, the paper reports on a user study involving nine participants with varying backgrounds in STPA, model-based engineering, and formal methods; the study found that most participants considered the tool a useful aid in identifying UCAs, while suggesting improvements that would make a tool such as FASR usable and applicable to a wider range of systems and analysts.