Journal of Statistical Physics最新文献_第2页

A Survey on Rigorous Results for the Dynamics of Periodic FPU Chains 周期FPU链动力学严谨结果综述

IF 1.1 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-10-11 DOI: 10.1007/s10955-026-03719-7

Dario Bambusi, Andrea Carati, Alberto Maiocchi

{"title":"A Survey on Rigorous Results for the Dynamics of Periodic FPU Chains","authors":"Dario Bambusi, Andrea Carati, Alberto Maiocchi","doi":"10.1007/s10955-026-03719-7","DOIUrl":"10.1007/s10955-026-03719-7","url":null,"abstract":"<div>In this paper we review some analytic results on the dynamics of the FPU system. In the first part of the paper, having in mind that the FPU Hamiltonian and the Toda Hamiltonian are close to each other, we present some results on the action angle variables of the Toda system and deduce some stability properties for the dynamics of the FPU system. We first focus on the case of finitely many particles and then we study the limit (Nrightarrow infty ). We also present some results on the continuous limit of the Toda chain showing that it is well described by a couple of KdV equations. Then we study directly the dynamics of the function interpolating the FPU system and show that the dynamics is Hamiltonian and that the Hamiltonian is very close to a function of the first three Hamiltonians of the KdV hierarchy. In the second part of the paper we present some results valid in the thermodynamic limit, according to which the time auto correlation functions of some suitably constructed observables decay slowly implying lower bounds on the thermalization times of the system.</div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"193 10","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-026-03719-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189166","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

Nonequilibrium Ensemble Averages Using Nonlinear Response Relations 非线性响应关系下的非平衡系综平均

IF 1.1 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-10-10 DOI: 10.1007/s10955-026-03710-2

Manuel Santos Gutiérrez, Valerio Lucarini, John Moroney, Niccolò Zagli

{"title":"Nonequilibrium Ensemble Averages Using Nonlinear Response Relations","authors":"Manuel Santos Gutiérrez, Valerio Lucarini, John Moroney, Niccolò Zagli","doi":"10.1007/s10955-026-03710-2","DOIUrl":"10.1007/s10955-026-03710-2","url":null,"abstract":"<div>The transient time correlation function (TTCF) method is widely used in fluids and many-body systems to compute nonequilibrium transport quantities, providing improved signal-to-noise ratios in ensemble averages without requiring prohibitively large sample sizes. In spite of its success, the method has not been systematically explored for more general nonequilibrium dynamical systems, including geophysical applications where the invariant measure is typically unknown. In this work, we present an analytical and numerical investigation of the TTCF method for computing nonlinear response functions in systems far from equilibrium. We present novel derivations of the TTCF based on functional analytical approaches as well as on Markov chains. We discuss its relation to the spectral theory of stochastic systems, highlighting regimes where linear theory is insufficient and the TTCF gives response estimates with enhanced signal-to-noise ratios. The aim of this work is to provide a framework for studying transient and steady-state responses using the TTCF approach in a broad class of nonequilibrium systems.\u0000</div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"193 10","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-026-03710-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149188898","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

Fine Asymptotics of the Magnetization of the Annealed Dilute Curie-Weiss Model 退火稀居里-魏斯模型磁化的精细渐近性

IF 1.1 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-10-09 DOI: 10.1007/s10955-026-03705-z

Fabian Apostel, Hanna Döring, Kristina Schubert

引用次数: 0

Dissipativeness of the Hyperbolic Quadrature Method of Moments for Kinetic Equations 动力学方程矩的双曲正交法的耗散性

IF 1.1 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-10-09 DOI: 10.1007/s10955-026-03706-y

Ruixi Zhang, Yihong Chen, Qian Huang, Wen-An Yong

{"title":"Dissipativeness of the Hyperbolic Quadrature Method of Moments for Kinetic Equations","authors":"Ruixi Zhang, Yihong Chen, Qian Huang, Wen-An Yong","doi":"10.1007/s10955-026-03706-y","DOIUrl":"10.1007/s10955-026-03706-y","url":null,"abstract":"<div>Kinetic equations describe the collective dynamics of many-particle systems far from equilibrium. While macroscopic models can be derived via the method of moments, the physical validity of these models hinges on their mathematical foundations. This paper investigates a particularly promising approach, the Hyperbolic Quadrature Method of Moments (HyQMOM), which has shown excellent performance in many applications but lacked a complete mathematical foundation. Here, we present the first analytical proof of strict hyperbolicity for the entire class of HyQMOM-induced moment systems by introducing a novel polynomial-based closure technique. As a byproduct, a class of numerical schemes is demonstrated to be realizability-preserving under a CFL-type condition. Crucially, we also prove that the method correctly preserves the dissipative properties of the underlying kinetic equation by verifying a key structural stability condition. These results rigorously establish the mathematical and physical robustness of HyQMOM, solidifying it as a reliable tool for simulating collective phenomena across the kinetic and hydrodynamic scales.</div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"193 10","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149133001","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

Correction: Proof of Avoidability of the Quantum First-Order Transition in Transverse Magnetization in Quantum Annealing of Finite-Dimensional Spin Glasses 修正：有限维自旋玻璃量子退火中横向磁化量子一阶跃迁的可避免性证明

IF 1.1 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-10-08 DOI: 10.1007/s10955-026-03694-z

Mizuki Sanatani, Naoto Shiraishi, Koji Hukushima

引用次数: 0

On Associative Neural Networks for Sparse Patterns with Large Capacities 大容量稀疏模式的关联神经网络研究

IF 1.1 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-10-08 DOI: 10.1007/s10955-026-03713-z

Matthias Löwe, Franck Vermet

{"title":"On Associative Neural Networks for Sparse Patterns with Large Capacities","authors":"Matthias Löwe, Franck Vermet","doi":"10.1007/s10955-026-03713-z","DOIUrl":"10.1007/s10955-026-03713-z","url":null,"abstract":"<div>Generalized Hopfield models with higher-order or exponential interaction terms are known to have substantially larger storage capacities than the classical quadratic model. On the other hand, associative memories for sparse patterns, such as the Willshaw and Amari models, already exhibit enhanced storage capacities in the sparse regime. In this paper we combine these two mechanisms. We introduce higher-order versions of sparse associative memory models and study their storage capacities in the sense of fixed-pattern stability. For the Amari and Willshaw models with fixed interaction order n, we obtain storage scales of order (frac{N^n}{(log N)^n}). When the interaction order grows logarithmically with the number of neurons, the resulting storage scale becomes super-polynomial. We also study higher-order interactions in the block-structured Gripon–Berrou architecture, where the natural storage scale is of order (c^n). Our results show that the capacity increase caused by higher-order interactions persists in the sparse setting, while the precise storage scale depends on the underlying architecture.</div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"193 10","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149132679","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 Infinite Block Spin Ising Model 无限块自旋Ising模型

IF 1.1 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-10-07 DOI: 10.1007/s10955-026-03707-x

Jonas Jalowy, Isabel Lammers, Matthias Löwe

{"title":"The Infinite Block Spin Ising Model","authors":"Jonas Jalowy, Isabel Lammers, Matthias Löwe","doi":"10.1007/s10955-026-03707-x","DOIUrl":"10.1007/s10955-026-03707-x","url":null,"abstract":"<div>We study a block mean-field Ising model with N spins split into (s_N) blocks, with Curie–Weiss interaction within blocks and nearest-neighbor coupling between blocks. While previous models deal with the block magnetization for a fixed number of blocks, we study the simultaneous limit (Nrightarrow infty ) and (s_Nrightarrow infty ). The model interpolates between Curie–Weiss model for (s_N=1), multi-species mean field for fixed (s_N=s), and the 1D Ising model for each spin in its own block at (s_N=N). Under mild growth conditions on (s_N), we prove a law of large numbers and a multivariate Central Limit Theorem with covariance given by the lattice Green’s function. For instance, the high-temperature CLT essentially covers the optimal range up to (s_N=o(N/(log N)^c)) and the low-temperature regime is new even for fixed number of blocks (s>2). In addition to the standard competition between entropy and energy, a new obstacle in the proofs is a curse of dimensionality as (s_N rightarrow infty ).</div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"193 10","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-026-03707-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149132175","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

Interplay Between Standard Quantum Detailed Balance and Thermodynamically Consistent Entropy Production 标准量子详细平衡与热力学一致熵产之间的相互作用

IF 1.1 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-10-06 DOI: 10.1007/s10955-026-03712-0

Xin-Hai Tong, Kohei Yoshimura, Tan Van Vu, Naruo Ohga

引用次数: 0

An Ideal Entropy Transporter with Finite Rate and Vanishing Dissipation and Fluctuations 具有有限速率且耗散和涨落消失的理想熵输运子

IF 1.1 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-10-05 DOI: 10.1007/s10955-026-03711-1

Mingnan Ding, Jun Wu, Xiangjun Xing

引用次数: 0

Delayed Logistic Equation as a Limit of Long Memory Markov Chains 时滞Logistic方程作为长记忆马尔可夫链的极限

IF 1.1 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-10-03 DOI: 10.1007/s10955-026-03709-9

Eldon Barros, Dirk Erhard, Tertuliano Franco, Milton Jara

{"title":"Delayed Logistic Equation as a Limit of Long Memory Markov Chains","authors":"Eldon Barros, Dirk Erhard, Tertuliano Franco, Milton Jara","doi":"10.1007/s10955-026-03709-9","DOIUrl":"10.1007/s10955-026-03709-9","url":null,"abstract":"<div>We introduce and analyze a long memory continuous-time Markov chain on ({mathbb R}_+) whose jump mechanism depends explicitly on a state in the past. From the present state (x_0), the process jumps to (x_0(1+frac{1}{N})) or to (x_0(1-frac{x_{-lfloor tau Nrfloor }}{N^2})), each at rate 1/2, where (x_{-lfloor tau Nrfloor }) denotes the state located (lfloor tau Nrfloor ) jumps backward in time. Here the delay (tau >0) is fixed and N is the scaling parameter. The initial condition is prescribed by a vector of length (lfloor tau Nrfloor +1), all of whose entries are equal to (mu N). Using a genuine space-time replacement lemma, we prove that, as (Nrightarrow infty ), the rescaled process converges to a deterministic limit governed by the Delayed Logistic Equation (also known as the Hutchinson equation) with delay (tau ) and initial condition (rho (t)equiv mu ) for (tin [-tau ,0]).</div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"193 10","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-026-03709-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149132080","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