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The (A_{alpha })-Spectrum and (A_{alpha })-Energy of the Dice Lattice 骰子晶格的(A_{alpha }) -光谱和(A_{alpha }) -能量
IF 1.2 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2025-10-04 DOI: 10.1007/s10955-025-03523-9
Xiaxia Zhang, Xiaoling Ma
{"title":"The (A_{alpha })-Spectrum and (A_{alpha })-Energy of the Dice Lattice","authors":"Xiaxia Zhang,&nbsp;Xiaoling Ma","doi":"10.1007/s10955-025-03523-9","DOIUrl":"10.1007/s10955-025-03523-9","url":null,"abstract":"<div><p>The dice lattice is a two-dimensional structure derived from hexagonal and triangular lattices, distinguished by its high degree of symmetry and distinctive physical properties. It holds significant relevance in the fields of mathematics, physics, and materials science, particularly in the investigation of topological phenomena and the dynamic behavior of low-dimensional systems. For a given graph <i>G</i>, let <i>A</i>(<i>G</i>), <i>D</i>(<i>G</i>), and <i>Q</i>(<i>G</i>) represent the adjacency matrix, degree matrix, and signless Laplacian matrix of <i>G</i>, respectively. We define </p><div><div><span>$$begin{aligned}A_{alpha }(G) = alpha D(G) + (1 - alpha )A(G), text{ for } text{ any } text{ real } text{ value } alpha in [0, 1].end{aligned}$$</span></div></div><p>In this paper, we determine the <span>(A_{alpha })</span>-spectrum and <span>(A_{alpha })</span>-energy of the dice lattice under toroidal boundary conditions. Furthermore, we utilize these findings to derive the <i>A</i>-spectrum, <i>Q</i>-spectrum, <i>A</i>-energy, and <i>Q</i>-energy of the dice lattice with the same boundary conditions.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 10","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145210638","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
The Vlasov alignment model with high order power-law potentials 具有高阶幂律势的Vlasov对准模型
IF 1.2 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2025-10-03 DOI: 10.1007/s10955-025-03522-w
Yuepeng Li, Zili Chen
{"title":"The Vlasov alignment model with high order power-law potentials","authors":"Yuepeng Li,&nbsp;Zili Chen","doi":"10.1007/s10955-025-03522-w","DOIUrl":"10.1007/s10955-025-03522-w","url":null,"abstract":"<div><p>Consensus behavior is a notable emergence phenomenon in nature. It is only recently that consensus behavior has been demonstrated in the Vlasov alignment and Euler alignment models with low-order power-law potentials, i.e. <span>(U(r)=r^{alpha }, alpha in [1,4))</span>. Note that the attraction between particles weakens as <span>(alpha )</span> grows, so it is interesting to consider the high-order power-law potential case. By some macroscopic and microscopic Lyapunov functionals, for any <span>(alpha in (2,infty ))</span> and any long range communication weight, we establish both the weak and strong consensus and their precise convergence rates for the Vlasov alignment and Euler alignment models.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 10","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145210876","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
A Periodic Kingman Model for the Balance Between Mutation and Selection. 突变与选择平衡的周期Kingman模型。
IF 1.2 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2025-10-03 DOI: 10.1007/s10955-025-03524-8
Camille Coron, Olivier Hénard
{"title":"A Periodic Kingman Model for the Balance Between Mutation and Selection.","authors":"Camille Coron,&nbsp;Olivier Hénard","doi":"10.1007/s10955-025-03524-8","DOIUrl":"10.1007/s10955-025-03524-8","url":null,"abstract":"<div><p>We introduce a periodic extension of the Kingman model [11] for the balance between selection and mutation in large populations. In its original form, the model describes a population’s fitness distribution by a probability measure on the unit interval evolving through a simple discrete-time dynamical system, in which selection operates via size-biasing, and the mutation distribution remains constant along time. We allow the mutation environment to vary periodically over time and prove the convergence of the fitness distribution along subsequences; crucially, we derive an explicit criterion, phrased in term of the Perron eigenvalue of a characteristic matrix, to determine whether an atom emerges at the largest fitness in the limit, a phenomenon called condensation. Our results provide new insights on the role of periodic mutation effects in population Darwinian evolution.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 10","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145210874","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
Strong Decay of Correlations for Gibbs States in Any Dimension 任意维吉布斯态相关的强衰减。
IF 1.2 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2025-09-29 DOI: 10.1007/s10955-025-03512-y
Andreas Bluhm, Ángela Capel, Antonio Pérez-Hernández
{"title":"Strong Decay of Correlations for Gibbs States in Any Dimension","authors":"Andreas Bluhm,&nbsp;Ángela Capel,&nbsp;Antonio Pérez-Hernández","doi":"10.1007/s10955-025-03512-y","DOIUrl":"10.1007/s10955-025-03512-y","url":null,"abstract":"<div><p>Quantum systems in thermal equilibrium are described using Gibbs states. The correlations in such states determine how difficult it is to describe or simulate them. In this article, we show that if the Gibbs state of a quantum system satisfies that each of its marginals admits a local effective Hamiltonian with short-range interactions, then it satisfies a mixing condition, that is, for any regions <i>A</i>, <i>C</i> the distance of the reduced state <span>(rho _{AC})</span> on these regions to the product of its marginals, <span>( left| rho _{AC} rho _A^{-1} otimes rho _C^{-1} - mathbbm {1}_{AC} right| , , )</span> decays exponentially with the distance between regions <i>A</i> and <i>C</i>. This mixing condition is stronger than other commonly studied measures of correlation. In particular, it implies the exponential decay of the mutual information between distant regions. The mixing condition has been used, for example, to prove positive log-Sobolev constants. On the way, we prove that the the condition regarding local effective Hamiltonian is satisfied if the Hamiltonian only has commuting interactions which also commute with every marginal of their products. The proof of these results employs a variety of tools such as Araki’s expansionals, quantum belief propagation and cluster expansions.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 10","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12477101/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145197801","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
Finite Rank Perturbation of Non-Hermitian Random Matrices: Heavy Tail and Sparse Regimes 非厄米随机矩阵的有限秩摄动：重尾和稀疏状态
IF 1.2 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2025-09-29 DOI: 10.1007/s10955-025-03517-7
Yi Han
{"title":"Finite Rank Perturbation of Non-Hermitian Random Matrices: Heavy Tail and Sparse Regimes","authors":"Yi Han","doi":"10.1007/s10955-025-03517-7","DOIUrl":"10.1007/s10955-025-03517-7","url":null,"abstract":"<div><p>In this work we investigate spectral properties of squared random matrices with independent entries that have only two finite moments. We revisit the problem of perturbing a large, i.i.d. random matrix by a finite rank error. We prove that under a merely second moment condition, for a large class of perturbation matrix with bounded rank and bounded operator norm, the outlier eigenvalues of perturbed matrix still converge to that of the perturbation, which was previously known when matrix entries have finite fourth moment. We then show that the same perturbation holds for very sparse random matrices with i.i.d. entries, all the way up to a constant number of nonzero entries per row and column.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 10","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145210973","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
On the Equivalence and Optimality of Transformations of Diffusive Systems 关于扩散系统变换的等价性和最优性
IF 1.2 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2025-09-29 DOI: 10.1007/s10955-025-03487-w
Davide Gabrielli, Giovanni Jona-Lasinio
{"title":"On the Equivalence and Optimality of Transformations of Diffusive Systems","authors":"Davide Gabrielli,&nbsp;Giovanni Jona-Lasinio","doi":"10.1007/s10955-025-03487-w","DOIUrl":"10.1007/s10955-025-03487-w","url":null,"abstract":"<div><p>In this paper we introduce, inspired by Clausius and developing the ideas of [11], the concept of equivalence of transformations in non equilibrium theory of diffusive systems within the framework of macroscopic fluctuation theory. Besides providing a new proof of a formula derived in [3, 4], which is the basis of the equivalence, we show that equivalent quasistatic transformations can be distinguished in finite terms, by the renormalized work introduced in [1,2,3,4]. This allows us to tackle the problem of determining the optimal quasistatic transformation among the equivalent ones.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 10","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-025-03487-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145210984","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
The Concept of Minimal Dissipation and the Identification of Work in Autonomous Systems: a View from Classical Statistical Physics 自治系统中最小耗散的概念和功的辨识：一个经典统计物理学的观点
IF 1.2 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2025-09-26 DOI: 10.1007/s10955-025-03514-w
Anja Seegebrecht, Tanja Schilling
{"title":"The Concept of Minimal Dissipation and the Identification of Work in Autonomous Systems: a View from Classical Statistical Physics","authors":"Anja Seegebrecht,&nbsp;Tanja Schilling","doi":"10.1007/s10955-025-03514-w","DOIUrl":"10.1007/s10955-025-03514-w","url":null,"abstract":"<div><p>Recently, the concept of minimal dissipation has been brought forward as a means to define work performed on open quantum systems [Phys. Rev. A <b>105</b>, 052216 (2022)]. We discuss this concept from the point of view of projection operator formalisms in classical statistical physics. We analyse an autonomous composite system which consists of a system and an environment in the most general sense (i.e. we neither impose conditions on the coupling between system and environment nor on the properties of the environment). One condition any useful definition of work needs to fulfil is that it reproduces the thermodynamic notion of work in the limit of weak coupling to an environment that has infinite heat capacity. We propose a projection operator route to a definition of work that reaches this limit and we discuss its relation to minimal dissipation.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 10","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-025-03514-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145170305","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
Exploring the Energy Landscape of the Thomson Problem: Local Minima and Stationary States 探索汤姆逊问题的能量格局：局部极小和稳态
IF 1.2 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2025-09-25 DOI: 10.1007/s10955-025-03520-y
Paolo Amore, Victor Figueroa, Enrique Diaz, Jorge A. López, Trevor Vincent
{"title":"Exploring the Energy Landscape of the Thomson Problem: Local Minima and Stationary States","authors":"Paolo Amore,&nbsp;Victor Figueroa,&nbsp;Enrique Diaz,&nbsp;Jorge A. López,&nbsp;Trevor Vincent","doi":"10.1007/s10955-025-03520-y","DOIUrl":"10.1007/s10955-025-03520-y","url":null,"abstract":"<div><p>We conducted a comprehensive numerical investigation of the energy landscape of the Thomson problem for systems up to <span>(N=150)</span>. Our results show the number of distinct configurations grows exponentially with <i>N</i>, but significantly faster than previously reported. Furthermore, we find that the average energy gap between independent configurations at a given <i>N</i> decays exponentially with <i>N</i>, dramatically increasing the computational complexity for larger systems. Finally, we developed a novel approach that reformulates the search for stationary points in the Thomson problem (or similar systems) as an equivalent minimization problem using a specifically designed potential. Leveraging this method, we performed a detailed exploration of the solution landscape for <span>(Nle 24)</span> and estimated the growth of the number of stationary states to be exponential in <i>N</i>.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 10","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145169737","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
Solutions to a Moving Boundary Problem on the Boltzmann Equation 玻尔兹曼方程移动边界问题的解
IF 1.2 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2025-09-24 DOI: 10.1007/s10955-025-03518-6
Renjun Duan, Zhu Zhang
{"title":"Solutions to a Moving Boundary Problem on the Boltzmann Equation","authors":"Renjun Duan,&nbsp;Zhu Zhang","doi":"10.1007/s10955-025-03518-6","DOIUrl":"10.1007/s10955-025-03518-6","url":null,"abstract":"<div><p>Motivated by the numerical investigation by Aoki et al. [1], we study a rarefied gas flow between two parallel infinite plates of the same temperature governed by the Boltzmann equation with diffuse reflection boundaries, where one plate is at rest and the other one oscillates in its normal direction periodically in time. For such boundary-value problem, we establish the existence of a time-periodic solution with the same period, provided that the amplitude of the oscillating boundary is suitably small. The positivity of the solution is also proved basing on the study of its large-time asymptotic stability for the corresponding initial-boundary value problem. For the proof of existence, we develop uniform estimates on the approximate solutions in the time-periodic setting and make a bootstrap argument by reducing the coefficient of the extra penalty term from a large enough constant to zero.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 10","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145168492","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
Fractional counting process at Lévy times and its applications lsamvy时间的分数计数过程及其应用
IF 1.2 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2025-09-23 DOI: 10.1007/s10955-025-03515-9
Shilpa Garg, Ashok Kumar Pathak, Aditya Maheshwari
{"title":"Fractional counting process at Lévy times and its applications","authors":"Shilpa Garg,&nbsp;Ashok Kumar Pathak,&nbsp;Aditya Maheshwari","doi":"10.1007/s10955-025-03515-9","DOIUrl":"10.1007/s10955-025-03515-9","url":null,"abstract":"<div><p>Traditionally, fractional counting processes, such as the fractional Poisson process <i>etc.</i>, have been defined using three methods: (i) through fractional differential and integral operators, (ii) by employing non-exponential waiting times in the renewal process approach, and (iii) by time-changing the Poisson process. Recently, Laskin (2024) introduced a broader class of fractional counting processes (FCP) by introducing the methodology for direct construction of the probability distribution using generalized three-parameter Mittag-Leffler function. In this paper, we introduce the time-changed fractional counting process (TCFCP), defined by time-changing the FCP with an independent Lévy subordinator. We derive distributional properties and results related to first waiting and the first passage time distribution are also discussed. We define the additive and multiplicative compound variants for the FCP and the TCFCP and examine their distributional characteristics with some typical examples. We explore some interesting connections of the TCFCP with Bell polynomials by introducing subordinated generalized fractional Bell polynomials. Finally, we present the application of the TCFCP in a shock deterioration model.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 10","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145168842","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
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