《统计物理学杂志》在统计物理学的所有领域以及与物理系统中的集体现象有关的相关领域发表原创和特邀评论论文。

The Journal of Statistical Physics publishes original research articles and invited reviews in all areas of statistical physics, with a particular emphasis on topics related to collective phenomena in physical systems.

《Journal of Statistical Physics》致力于发表统计物理学各个领域的原创研究论文和特邀评论，特别关注与物理系统中的集体现象相关的研究。

Journal of Statistical Physics

James T. Hynes

Chemical reaction rates and solvent friction

化学反应速率与溶剂摩擦

Zhang Chen

Xiaoxiao Sun

Dandan Yang

Central Limit Theorems and Moderate Deviations for Stochastic Reaction-Diffusion Lattice Systems

随机反应-扩散格点系统的中大偏差中心极限定理

Paolo Buttà

Guido Cavallaro

Carlo Marchioro

Long Time Evolution of Concentrated Vortex Rings with Large Radius

大半径浓聚涡环的长时间演化

Qun Liu

Zhishan Dong

Some Rigorous Results for the Diluted Multi-species SK Model

稀释多物种SK模型的若干严格结果

Abstract In this paper, we study a mean-field spin model with three- and two-body interactions. In a recent paper (Ann Henri Poincaré, 2024) by Contucci, Mingione and Osabutey, the equilibrium measure for large volumes was shown to have three pure states, two with opposite magnetization and an unpolarized one with zero magnetization, merging at the critical point. The authors proved a central limit theorem for the suitably rescaled magnetization. The aim of our paper is presenting a prove of a central limit theorem for the rescaled magnetization applying the exchangeable pair approach due to Stein. Moreover we prove (non-uniform) Berry–Esseen bounds, a concentration inequality, Cramér-type moderate deviations and a moderate deviations principle for the suitably rescaled magnetization. Interestingly we analyze Berry–Esseen bounds in case the model-parameters $$(K_n,J_n)$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mo>(</mml:mo> <mml:msub> <mml:mi>K</mml:mi> <mml:mi>n</mml:mi> </mml:msub> <mml:mo>,</mml:mo> <mml:msub> <mml:mi>J</mml:mi> <mml:mi>n</mml:mi> </mml:msub> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> converge to the critical point (0, 1) on lines with different slopes and with a certain speed, and obtain new limiting distributions and thresholds for the speed of convergence.

Peter Eichelsbacher

Stein’s Method and a Cubic Mean-Field Model

斯坦方法与三次平均场模型

Abstract We study a hierarchical model of non-overlapping cubes of sidelengths $$2^j$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mn>2</mml:mn> <mml:mi>j</mml:mi> </mml:msup> </mml:math> , $$j\in {\mathbb {Z}}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>j</mml:mi> <mml:mo>∈</mml:mo> <mml:mi>Z</mml:mi> </mml:mrow> </mml:math> . The model allows for cubes of arbitrarily small size and the activities need not be translationally invariant. It can also be recast as a spin system on a tree with a long-range hard-core interaction. We prove necessary and sufficient conditions for the existence and uniqueness of Gibbs measures, discuss fragmentation and condensation, and prove bounds on the decay of two-point correlation functions.

Sabine Jansen

Jan Philipp Neumann

Hierarchical Cubes: Gibbs Measures and Decay of Correlations

分层立方体：吉布斯测度和关联衰减

Abstract The discrete nonlinear Schrödinger equation on $${\mathbb Z}^d$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mrow> <mml:mi>Z</mml:mi> </mml:mrow> <mml:mi>d</mml:mi> </mml:msup> </mml:math> , $$d \ge 1$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>d</mml:mi> <mml:mo>≥</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:math> is an example of a dispersive nonlinear wave system. Being a Hamiltonian system that conserves also the $$\ell ^2({\mathbb Z}^d)$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msup> <mml:mi>ℓ</mml:mi> <mml:mn>2</mml:mn> </mml:msup> <mml:mrow> <mml:mo>(</mml:mo> <mml:msup> <mml:mrow> <mml:mi>Z</mml:mi> </mml:mrow> <mml:mi>d</mml:mi> </mml:msup> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> </mml:math> -norm, the well-posedness of the corresponding Cauchy problem follows for square-summable initial data. In this paper, we prove that the well-posedness continues to hold for initial data that can grow towards infinity, namely anything that has at most a certain power law growth far away from the origin. The growth condition is loose enough to guarantee that, at least in dimension $$d=1$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>d</mml:mi> <mml:mo>=</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:math> , initial data sampled from any reasonable equilibrium distribution of the defocusing DNLS satisfies it almost surely.

Aleksis Vuoksenmaa

Dynamics of the Infinite Discrete Nonlinear Schrödinger Equation

无穷离散非线性薛定谔方程的动力学

短名	J. Stat. Phys.
Journal Impact	1.16
国际分区	PHYSICS, MATHEMATICAL(Q3)
期刊索引	SCI Q2中科院 3 区

ISSN	0022-4715, 1572-9613
h-index	117
国内分区	物理与天体物理(3区)物理与天体物理物理数学物理(3区)

涉及主题	物理数学量子力学统计物理学数学分析热力学计算机科学统计几何学数学物理工程类化学凝聚态物理生物组合数学
出版信息	出版商: Springer New York，出版周期: Semimonthly，期刊类型: journal，开源期刊: 否
基本数据	创刊年份: 1969，原创研究文献占比: 100.00%，自引率:7.70%， Gold OA占比: 33.33%
平均审稿周期	网友分享经验：一般,3-6周
平均录用比例	网友分享经验：容易

Journal of Statistical Physics

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Chemical reaction rates and solvent friction

Central Limit Theorems and Moderate Deviations for Stochastic Reaction-Diffusion Lattice Systems

Long Time Evolution of Concentrated Vortex Rings with Large Radius

Some Rigorous Results for the Diluted Multi-species SK Model

Stein’s Method and a Cubic Mean-Field Model

Long Time Evolution of Concentrated Vortex Rings with Large Radius

Stein’s Method and a Cubic Mean-Field Model

Some Rigorous Results for the Diluted Multi-species SK Model

Hierarchical Cubes: Gibbs Measures and Decay of Correlations

Dynamics of the Infinite Discrete Nonlinear Schrödinger Equation