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Large Deviation Principle for Slow-Fast Systems with Infinite-Dimensional Mixed Fractional Brownian Motion 具有无限维混合分数布朗运动的慢-快系统的大偏差原理
IF 1.2 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2025-11-12 DOI: 10.1007/s10955-025-03537-3
Wenting Xu, Yong Xu, Xiaoyu Yang, Bin Pei
{"title":"Large Deviation Principle for Slow-Fast Systems with Infinite-Dimensional Mixed Fractional Brownian Motion","authors":"Wenting Xu,&nbsp;Yong Xu,&nbsp;Xiaoyu Yang,&nbsp;Bin Pei","doi":"10.1007/s10955-025-03537-3","DOIUrl":"10.1007/s10955-025-03537-3","url":null,"abstract":"<div><p>This work is concerned with the large deviation principle (LDP) for a family of slow-fast systems perturbed by infinite-dimensional mixed fractional Brownian motion with Hurst parameter <span>(Hin (frac{1}{2},1))</span>. We adopt the weak convergence method which is based on the variational representation formula for infinite-dimensional mixed fractional Brownian motion. To obtain the weak convergence of the controlled systems, we apply Khasminskii’s averaging principle and the time discretization technique. In addition, we drop the boundedness assumption of the drift coefficients of the slow components and the diffusion coefficients of the fast components. Finally, the moderate deviation principle (MDP) for the slow-fast systems is established based on the proof of the proposed LDP.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 12","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145493473","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
Notes on the Jellinek-Berry Thermostated Ideal Gas 关于Jellinek-Berry热稳态理想气体的注释。
IF 1.2 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2025-11-10 DOI: 10.1007/s10955-025-03536-4
Leo T. Butler, Alireza Sharifi
{"title":"Notes on the Jellinek-Berry Thermostated Ideal Gas","authors":"Leo T. Butler,&nbsp;Alireza Sharifi","doi":"10.1007/s10955-025-03536-4","DOIUrl":"10.1007/s10955-025-03536-4","url":null,"abstract":"<div><p>This note studies Hamiltonian systems which are thermostated using the Jellinek–Berry thermostat (J. Phys. Chem. 1988; Phys. Rev. A 1988). Jellinek &amp; Jellinek and Berry propose an extension of Nosé’s thermostat (J. Chem. Phys. 1984). They introduce multiple functional parameters in order to achieve ergodicity of the thermostated dynamics. This family of Hamiltonian thermostats aims to simulate the canonical ensemble of a Hamiltonian <i>H</i> by coupling <i>H</i> to a 1-d heat reservoir with potential energy <i>v</i>(<i>s</i>) and kinetic energy <span>(dfrac{1}{2Q}(p_s/u(s))^2)</span>. This note derives a normal form for the reservoir’s potential energy; investigates when the Jellinek–Berry thermostated system admits a Hoover reduction; and, demonstrates that a Jellinek–Berry thermostated periodic ideal gas is completely integrable and satisfies a KAM twist condition called Rüssmann non-degeneracy. This is used to deduce that a thermostated, collision-less, non-ideal gas (i.e. one with a smooth potential energy) at sufficiently high temperatures of the reservoir has a positive measure set of invariant tori–hence, the thermostated dynamics are non-ergodic.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 11","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12602579/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145501434","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
Ordering in statistical systems on the way to the thermodynamic limit 走向热力学极限的统计系统中的排序
IF 1.2 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2025-11-07 DOI: 10.1007/s10955-025-03539-1
V.I. Yukalov, E. P. Yukalova
{"title":"Ordering in statistical systems on the way to the thermodynamic limit","authors":"V.I. Yukalov,&nbsp;E. P. Yukalova","doi":"10.1007/s10955-025-03539-1","DOIUrl":"10.1007/s10955-025-03539-1","url":null,"abstract":"<div><p>It is well known that the mathematically accurate description of ordering and related symmetry breaking in statistical systems requires to consider the thermodynamic limit. But the order does not appear from nowhere, and yet before the thermodynamic limit is reached, there should exist some kind of preordering that appears and grows in the process of increasing the system size. The quantitative description of growing order, under the growing system size, is developed by introducing the notion of <i>order indices</i>. The rigorous proof of the phase transition existence is a separate difficult problem that is not the topic of the present paper. We illustrate the approach resorting to several models in the mean-field approximation, which makes it possible to demonstrate the notion of order indices for finite systems in a clear way. We show how the order grows on the way to the thermodynamic limit for Bose-Einstein condensation, arising superconductivity, magnetization, and crystallization phenomena.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 11","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145456559","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
Exclusion processes with non-reversible boundary: hydrodynamics and large deviations 具有不可逆边界的排斥过程：流体力学和大偏差
IF 1.2 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2025-11-07 DOI: 10.1007/s10955-025-03538-2
Claudio Landim, João Pedro Mangi, Beatriz Salvador
{"title":"Exclusion processes with non-reversible boundary: hydrodynamics and large deviations","authors":"Claudio Landim,&nbsp;João Pedro Mangi,&nbsp;Beatriz Salvador","doi":"10.1007/s10955-025-03538-2","DOIUrl":"10.1007/s10955-025-03538-2","url":null,"abstract":"<div><p>We consider a one-dimensional exclusion dynamics in mild contact with boundary reservoirs. In the diffusive scale, the particles’ density evolves as the solution of the heat equation with non-linear Robin boundary conditions. For appropriate choices of the boundary rates, these partial differential equations have more than one stationary solution. We prove the dynamical large deviations principle.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 11","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145456541","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
Effect of Interaction Network Assortativity on Multi-Element System Response to Avalanche-Like Perturbations 交互网络选型对雪崩扰动下多元素系统响应的影响
IF 1.2 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2025-11-05 DOI: 10.1007/s10955-025-03544-4
N. E. Savitskaya, T. A. Fedorova
{"title":"Effect of Interaction Network Assortativity on Multi-Element System Response to Avalanche-Like Perturbations","authors":"N. E. Savitskaya,&nbsp;T. A. Fedorova","doi":"10.1007/s10955-025-03544-4","DOIUrl":"10.1007/s10955-025-03544-4","url":null,"abstract":"<div><p>A modified noisy voter model is considered on time-varying scale-free networks with different degrees of assortativity. Within the model, the avalanche-like dynamics of the threshold variables (stress) assigned to voters leads to changes in their binary states (opinions). The system response to an avalanche is defined as the change in the system average opinion caused by this perturbation. It is shown analytically and numerically that increasing network assortativity leads to a disordering of the system dynamics. For systems of finite size, the dynamics changes from switching between consensuses to a state where opposing opinions coexist and the system average opinion is close to zero. At the same time, the increasing assortativity stabilizes the system response. This stabilization manifests itself in a decrease in both the maximum value of the response magnitude and the probability of large responses.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 11","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145456181","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
Relativistic BGK Model of Marle for Polyatomic Gases Near Equilibrium 近平衡态多原子气体Marle的相对论BGK模型
IF 1.2 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2025-11-03 DOI: 10.1007/s10955-025-03541-7
Byung-Hoon Hwang
{"title":"Relativistic BGK Model of Marle for Polyatomic Gases Near Equilibrium","authors":"Byung-Hoon Hwang","doi":"10.1007/s10955-025-03541-7","DOIUrl":"10.1007/s10955-025-03541-7","url":null,"abstract":"<div><p>In this paper, we consider the direct application of the relativistic extended thermodynamics theory of polyatomic gases developed in [Ann. Phys. 377 (2017) 414–445] to the relativistic BGK model proposed by Marle. We present the perturbed Marle model around the generalized Jüttner distribution and investigate the properties of the linear operator. Then we prove the global existence and large-time behavior of classical solutions when the initial data is sufficiently close to a global equilibrium.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 11","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145456101","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
Hadwiger Models: Low-Temperature Behavior in a Natural Extension of the Ising Model 哈威格模式：伊辛模式的自然扩展中的低温行为
IF 1.2 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2025-11-03 DOI: 10.1007/s10955-025-03540-8
Summer Eldridge, Benjamin Schweinhart
{"title":"Hadwiger Models: Low-Temperature Behavior in a Natural Extension of the Ising Model","authors":"Summer Eldridge,&nbsp;Benjamin Schweinhart","doi":"10.1007/s10955-025-03540-8","DOIUrl":"10.1007/s10955-025-03540-8","url":null,"abstract":"<div><p>In two dimensions, all isometrically invariant Markov random fields on binary assignments are induced by energy functions that can be represented as linear combinations of area, perimeter, and Euler characteristic. This class of model includes the Ising model, both ferro- and antiferromagnetic, with and without a field, as well as the Baxter-Wu model. On the hexagonal lattice, we determine the low-temperature behavior for this class of model, and construct a phase diagram of said behavior. In particular, we identify regions with three geometric phases, regions with a single unique phase, and coexistence curves between them. We also characterize the behavior along two non-Peierls lines, where entropy fails to vanish the as temperature goes to zero.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 11","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-025-03540-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145456100","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
New Upper Bound for the Connective Constant for square-lattice Self-Avoiding Walks 方格自回避行走的连接常数的新上界
IF 1.2 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2025-10-31 DOI: 10.1007/s10955-025-03542-6
Olivier Couronné
{"title":"New Upper Bound for the Connective Constant for square-lattice Self-Avoiding Walks","authors":"Olivier Couronné","doi":"10.1007/s10955-025-03542-6","DOIUrl":"10.1007/s10955-025-03542-6","url":null,"abstract":"<div><p>By modifying the automaton used by Pönitz and Tittman [9], principally by enabling multiple choices for state transitions through various simplification strategies, and considering states with a maximum size-loop of 26 (compared to 22 in their work), we obtain 2.662343 as an upper bound for the connective constant on the square lattice <span>(mathbb {Z}^2)</span>.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 11","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145406203","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
Diffusion Properties of Small-Scale Fractional Transport Models 小尺度分数输运模型的扩散特性
IF 1.2 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2025-10-28 DOI: 10.1007/s10955-025-03534-6
Paolo Cifani, Franco Flandoli
{"title":"Diffusion Properties of Small-Scale Fractional Transport Models","authors":"Paolo Cifani,&nbsp;Franco Flandoli","doi":"10.1007/s10955-025-03534-6","DOIUrl":"10.1007/s10955-025-03534-6","url":null,"abstract":"<div><p>Stochastic transport due to a velocity field modeled by the superposition of small-scale divergence free vector fields activated by Fractional Gaussian Noises (FGN) is numerically investigated. We present two non-trivial contributions: the first one is the definition of a model where different space-time structures can be compared on the same ground: this is achieved by imposing the same average kinetic energy to a standard Ornstein-Uhlenbeck approximation, then taking the limit to the idealized white noise structure. The second contribution, based on the previous one, is the discovery that a mixing spatial structure with persistent FGN in the Fourier components induces a classical Brownian diffusion of passive particles, with a suitable diffusion coefficient; namely, the memory of FGN is lost in the space complexity of the velocity field.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 11","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-025-03534-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145405957","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 Boltzmann Equation for a Multi-Species Inelastic Mixture 多种非弹性混合物的玻尔兹曼方程
IF 1.2 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2025-10-27 DOI: 10.1007/s10955-025-03532-8
Thomas Rey, Tommaso Tenna
{"title":"The Boltzmann Equation for a Multi-Species Inelastic Mixture","authors":"Thomas Rey,&nbsp;Tommaso Tenna","doi":"10.1007/s10955-025-03532-8","DOIUrl":"10.1007/s10955-025-03532-8","url":null,"abstract":"<div><p>A granular gas is a collection of macroscopic particles that interact through energy-dissipating collisions, also known as inelastic collisions. This inelasticity is characterized by a collision mechanics in which mass and momentum are conserved and kinetic energy is dissipated. Such a system can be described by a kinetic equation of the Boltzmann type. Nevertheless, due to the macroscopic aspect of the particles, any realistic description of a granular gas should be written as a mixture model composed of <i>M</i> different species, each with its own mass. We propose in this work such a granular multi-species model and analyse it, providing Povzner-type inequalities, and a Cauchy theory in general Orlicz spaces. We also analyse its large time behavior, showing that it exhibits a mixture analogue of the seminal Haff’s Law.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 11","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145405856","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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