Journal of Statistical Physics最新文献_第5页

Maximal Minimal Spacing for Random Points 随机点的最大最小间距

IF 1.1 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-08-27 DOI: 10.1007/s10955-026-03680-5

Fabio Deelan Cunden, Noemi Cuppone, Giovanni Gramegna, Pierpaolo Vivo

{"title":"Maximal Minimal Spacing for Random Points","authors":"Fabio Deelan Cunden, Noemi Cuppone, Giovanni Gramegna, Pierpaolo Vivo","doi":"10.1007/s10955-026-03680-5","DOIUrl":"10.1007/s10955-026-03680-5","url":null,"abstract":"<div><p>From <span>(N+1)</span> random points on a line we wish to select <span>(M+1)</span> points so as to maximize the minimal spacing between them. We consider an initial configuration with independent and identically distributed spacings. Equivalently, the points are arrival times of a generic renewal process. For general spacing distributions, and for all <span>(Mle N)</span>, we derive exact distributional identities for the maximal minimal spacing and obtain its asymptotic behavior. The problem admits a reformulation in terms of a threshold-resetting random walk. The walk advances by successive random increments and is reset to the origin upon exceeding a fixed threshold. The probability that the optimal spacing exceeds a given value coincides with the probability that the walk completes at least <i>M</i> reset cycles within <i>N</i> steps. This yields an exact representation in terms of first-passage functionals of the walk. The same mapping suggests a numerical scheme for the max-min spacing problem in the regime of large <i>N</i> and <i>M</i>, whose accuracy is tested against the exact results obtained here.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"193 9","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-026-03680-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148838049","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Percolation Thresholds for Penetrable Spherocylinders with Varied Orientational Distribution Functions 具有不同方向分布函数的可穿透球柱的渗透阈值

IF 1.1 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-08-25 DOI: 10.1007/s10955-026-03682-3

Aidan Durant, Avik P. Chatterjee

引用次数: 0

Dense Associative Memory with Biased Patterns: A Replica Symmetric Analysis 带有偏置模式的密集联想记忆：一个副本对称分析

IF 1.1 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-08-20 DOI: 10.1007/s10955-026-03679-y

Linda Albanese, Andrea Alessandrelli, Federico Carella

{"title":"Dense Associative Memory with Biased Patterns: A Replica Symmetric Analysis","authors":"Linda Albanese, Andrea Alessandrelli, Federico Carella","doi":"10.1007/s10955-026-03679-y","DOIUrl":"10.1007/s10955-026-03679-y","url":null,"abstract":"<div><p>We investigate dense higher-order associative memories in the high storage regime when the stored patterns are biased, namely when the entries of the patterns are not symmetrically distributed around zero. In this setting, the standard Hebbian prescription must be modified by recentering and rescaling the pattern entries, and an additional term must be introduced in the Hamiltonian to enforce consistency between the average activity of the network and that of the stored patterns. As a first step, we perform a signal-to-noise analysis in the zero-temperature limit and show that the bias reduces the effective storage capacity through a multiplicative correction factor <span>((1-b^2)^P)</span>, while preserving the superlinear scaling with the system size. We then derive the quenched statistical pressure within the Replica Symmetric framework by means of Guerra’s interpolation method and obtain the corresponding self consistency equations for the relevant order parameters. The analytical treatment confirms the heuristic prediction of the signal-to-noise argument, taking to an attenuation of the signal or equivalent renormalization of the effective noise. Finally, we discuss the resulting phase behavior of the model and its implications for retrieval performance in the model.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"193 9","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-026-03679-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148782569","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Average Winding Number for Determinantal Curves associated with 2-Matrix Models in the Class AIII 一类2-矩阵模型的确定性曲线的平均圈数

IF 1.1 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-08-19 DOI: 10.1007/s10955-026-03642-x

Mathieu Yahiaoui, Mario Kieburg

引用次数: 0

Existence and Finiteness of Equilibrium States for Partially Hyperbolic Endomorphisms 部分双曲自同态平衡态的存在性和有限性

IF 1.1 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-08-07 DOI: 10.1007/s10955-026-03676-1

Alexander Arbieto, Eric Cabezas

引用次数: 0

Correlation Measure for Statistical Systems 统计系统的相关度量

IF 1.1 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-08-06 DOI: 10.1007/s10955-026-03677-0

V. I. Yukalov, E. P. Yukalova

引用次数: 0

Wave Propagation and Heat Transport in One-Dimensional Nonlinear Lattices with Continuous Symmetry 一维非线性连续对称晶格中的波传播和热输运

IF 1.1 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-08-06 DOI: 10.1007/s10955-026-03655-6

Kazuyuki Yoshimura, Yusuke Doi

{"title":"Wave Propagation and Heat Transport in One-Dimensional Nonlinear Lattices with Continuous Symmetry","authors":"Kazuyuki Yoshimura, Yusuke Doi","doi":"10.1007/s10955-026-03655-6","DOIUrl":"10.1007/s10955-026-03655-6","url":null,"abstract":"<div><p>This review article discusses wave propagation and heat transport in one-dimensional nonlinear lattices, focusing particularly on the role of symmetry. The concept of continuous translational symmetry in nonlinear lattices has recently been introduced. Furthermore, a nonlinear lattice possessing this symmetry has been explicitly constructed. This paper describes this symmetric lattice and its various properties, focusing especially on the propagation of discrete breather (DB). Effects due to the lattice discreteness emerge in traveling DBs in ordinary nonlinear lattices. In contrast, the constructed lattice removes these discrete effects, showing that the lack of this symmetry is the origin of the discrete effect. The paper also outlines recent progress regarding the construction of nonlinear lattices without umklapp processes, which possess similar symmetry, and their heat transport. Numerical results indicate that this similar symmetry vanishes thermal resistance by eliminating the umklapp process. These findings suggest a unified perspective that symmetry determines both the mobility and the heat transport of nonlinear waves in lattices.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"193 8","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148750935","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Hydrodynamic Limits From the Self-Organized Kinetic System for Body Attitude Coordination 身体姿态协调自组织动力学系统的流体动力学极限

IF 1.1 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-08-05 DOI: 10.1007/s10955-026-03672-5

Naping Guo, Yi-Long Luo

引用次数: 0

Non-Markovian compounded random walk on finite domains 有限域上的非马尔可夫复合随机漫步

IF 1.1 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-08-04 DOI: 10.1007/s10955-026-03666-3

Yuexiong Liu, Guohua Li, Hong Zhang, Xinping Deng, Dan Li, Zhaoyue Feng

{"title":"Non-Markovian compounded random walk on finite domains","authors":"Yuexiong Liu, Guohua Li, Hong Zhang, Xinping Deng, Dan Li, Zhaoyue Feng","doi":"10.1007/s10955-026-03666-3","DOIUrl":"10.1007/s10955-026-03666-3","url":null,"abstract":"<div><p>Constructing a physically realizable fractional-order random walk model within finite spaces and heterogeneous potential fields has long remained a persistent challenge in the study of anomalous diffusion. In this paper, a novel composite continuous-time random walk model is investigated to characterize anomalous diffusion in a potential field over a finite domain under non-Markovian temporal conditions, in which the composite jumps that incrementally sample spatial forces are considered for the trapped particles in potential field. Concurrently, we consider both biexponential and power-law waiting time distributions to capture trapping effects in complex environments. In the continuous limit, we rigorously derive the macroscopic evolution equations corresponding to the master equation of this random walk: a spatial fractional Fokker-Planck equation for biexponential waiting times and a time-space fractional Fokker-Planck equation for power-law waiting times. Here, the spatial fractional derivative is defined via spectral fractional Fokker-Planck operator, endowing it with a clear physical interpretation in finite domains; the time fractional derivative takes the Caputo form, characterizing the non-Markovian nature of power-law waiting times. We derived the analytical solution of the propagator for the diffusion equation under reflecting and absorbing boundary conditions, and conducted a discussion on the first-passage time under double absorbing boundaries within a finite domain. By comparing the analytical solutions of the propagator and first-passage time probability density function with Monte Carlo simulation results, we validated the correctness of the theoretical derivation. This model may hold significant value for understanding complex transport processes.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"193 8","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148750590","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Entropy Dissipation Inequality for General Binary Collision Models 一般二元碰撞模型的熵耗散不等式

IF 1.1 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-08-04 DOI: 10.1007/s10955-026-03673-4

Giada Basile, Dario Benedetto

引用次数: 0