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Complete Classification of Integrability and Non-Integrability of S=1/2 Spin Chains with Symmetric Next-Nearest-Neighbor Interaction 具有对称次近邻相互作用的S=1/2自旋链的可积性和不可积性的完全分类
IF 1.2 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2025-11-25 DOI: 10.1007/s10955-025-03551-5
Naoto Shiraishi
{"title":"Complete Classification of Integrability and Non-Integrability of S=1/2 Spin Chains with Symmetric Next-Nearest-Neighbor Interaction","authors":"Naoto Shiraishi","doi":"10.1007/s10955-025-03551-5","DOIUrl":"10.1007/s10955-025-03551-5","url":null,"abstract":"<div><p>We study S=1/2 quantum spin chains with shift-invariant and inversion-symmetric next-nearest-neighbor interaction, also known as zigzag spin chains. We completely classify the integrability and non-integrability of the above class of spin systems. We prove that in this class there are only two integrable models, a classical model and a model solvable by the Bethe ansatz, and all the remaining systems are non-integrable. Our classification theorem confirms that within this class of spin chains, there is no missing integrable model. This theorem also implies the absence of intermediate models with a finite number of local conserved quantities.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 12","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-025-03551-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145612395","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
Gaussian concentration bounds for probabilistic cellular automata 概率元胞自动机的高斯浓度界
IF 1.2 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2025-11-21 DOI: 10.1007/s10955-025-03552-4
Jean-René Chazottes, Frank Redig, Edgardo Ugalde
{"title":"Gaussian concentration bounds for probabilistic cellular automata","authors":"Jean-René Chazottes,&nbsp;Frank Redig,&nbsp;Edgardo Ugalde","doi":"10.1007/s10955-025-03552-4","DOIUrl":"10.1007/s10955-025-03552-4","url":null,"abstract":"<div><p>We study lattice spin systems and analyze the evolution of Gaussian concentration bounds (GCB) under the action of probabilistic cellular automata (PCA), which serve as discrete-time analogues of Markovian spin-flip dynamics. We establish the conservation of GCB and, in the high-noise regime, demonstrate that GCB holds for the unique stationary measure. Additionally, we prove the equivalence of GCB for the space-time measure and its spatial marginals in the case of contractive probabilistic cellular automata. Furthermore, we explore the relationship between (non)-uniqueness and GCB in the context of space-time Gibbs measures for PCA and illustrate these results with examples.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 12","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145561506","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
Error Bounds in a Smooth Metric for Brownian Approximation of Dynamical Systems via Stein’s Method 基于Stein方法的动力系统布朗近似光滑度量的误差界
IF 1.2 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2025-11-19 DOI: 10.1007/s10955-025-03547-1
Juho Leppänen, Yuto Nakajima, Yushi Nakano
{"title":"Error Bounds in a Smooth Metric for Brownian Approximation of Dynamical Systems via Stein’s Method","authors":"Juho Leppänen,&nbsp;Yuto Nakajima,&nbsp;Yushi Nakano","doi":"10.1007/s10955-025-03547-1","DOIUrl":"10.1007/s10955-025-03547-1","url":null,"abstract":"<div><p>We adapt Stein’s method of diffusion approximations, developed by Barbour, to the study of chaotic dynamical systems. We establish an error bound in the functional central limit theorem with respect to an integral probability metric of smooth test functions under a functional correlation decay bound. For systems with a sufficiently fast polynomial rate of correlation decay, the error bound is of order <span>(O(N^{-1/2}))</span>, under an additional condition on the linear growth of variance. Applications include a family of interval maps with neutral fixed points and unbounded derivatives, and two-dimensional dispersing Sinai billiards.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 12","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-025-03547-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145561214","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
Martingale Properties of Entropy Production and a Generalized Work Theorem with Decoupled Forward and Backward Processes 熵产生的鞅性质及正反耦的广义功定理
IF 1.2 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2025-11-18 DOI: 10.1007/s10955-025-03530-w
Xiangting Li, Tom Chou
{"title":"Martingale Properties of Entropy Production and a Generalized Work Theorem with Decoupled Forward and Backward Processes","authors":"Xiangting Li,&nbsp;Tom Chou","doi":"10.1007/s10955-025-03530-w","DOIUrl":"10.1007/s10955-025-03530-w","url":null,"abstract":"<div><p>By decoupling forward and backward stochastic trajectories, we construct a family of martingales and work theorems for both overdamped and underdamped Langevin dynamics. Our results are made possible by an alternative derivation of work theorems that uses tools from stochastic calculus instead of path-integration. We further strengthen the equality in work theorems by evaluating expectations conditioned on an arbitrary initial state value. These generalizations extend the applicability of work theorems and offer new interpretations of entropy production in stochastic systems. Lastly, we discuss the violation of work theorems in far-from-equilibrium systems.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 12","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-11-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-025-03530-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145561149","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
Stationary Fluctuation for the Occupation Time of the Multi-Species Stirring Process 多组分搅拌过程占用时间的平稳波动
IF 1.2 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2025-11-17 DOI: 10.1007/s10955-025-03549-z
Xiaofeng Xue
{"title":"Stationary Fluctuation for the Occupation Time of the Multi-Species Stirring Process","authors":"Xiaofeng Xue","doi":"10.1007/s10955-025-03549-z","DOIUrl":"10.1007/s10955-025-03549-z","url":null,"abstract":"<div><p>In this paper, we prove a fluctuation theorem for the occupation time of the multi-species stirring process on a lattice starting from a stationary distribution. Our result shows that the occupation times of different species interact with each other at the level of equilibrium fluctuation. The proof of our result utilizes the resolvent strategy introduced in [12]. A coupling relationship between the multi-species stirring process and an auxiliary process and a graphical representation of the auxiliary process play the key roles in the proof.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 12","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145561433","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
Prediction of Large Events in Directed Sandpiles 定向沙堆中大事件的预测
IF 1.2 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2025-11-15 DOI: 10.1007/s10955-025-03548-0
Dhruv Shah
{"title":"Prediction of Large Events in Directed Sandpiles","authors":"Dhruv Shah","doi":"10.1007/s10955-025-03548-0","DOIUrl":"10.1007/s10955-025-03548-0","url":null,"abstract":"<div><p>The degree of predictability of large avalanche events in the directed sandpile model is studied. This degree is defined in terms of how successfully a strategy can predict such events, as compared to a random guess. A waiting time based prediction strategy which exploits the local anticorrelation of large events is discussed. With this strategy we show analytically and numerically that large events are predictable, and that this predictability persists in the thermodynamic limit. We introduce another strategy which predicts large avalanches in the future based on the present excess density in the sandpile. We obtain the exact conditional probabilities for large events given an excess density, and use this to determine the exact form of the ROC predictability curves. We show that for this strategy, the model is predictable only for finite lattice sizes, and unpredictable in the thermodynamic limit. This behaviour is to be contrasted with previously established numerical studies carried out for Manna sandpiles.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 12","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-025-03548-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145561063","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
Complete Ergodicity in One-Dimensional Reversible Cellular Automata 一维可逆元胞自动机的完全遍历性
IF 1.2 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2025-11-15 DOI: 10.1007/s10955-025-03529-3
Naoto Shiraishi, Shinji Takesue
{"title":"Complete Ergodicity in One-Dimensional Reversible Cellular Automata","authors":"Naoto Shiraishi,&nbsp;Shinji Takesue","doi":"10.1007/s10955-025-03529-3","DOIUrl":"10.1007/s10955-025-03529-3","url":null,"abstract":"<div><p>Exactly ergodicity in boundary-driven semi-infinite cellular automata (CA) are investigated. We establish all the ergodic rules in CA with 3, 4, and 5 states. We analytically prove the ergodicity for 18 rules in 3-state CA and 118320 rules in 5-state CA with any ergodic and periodic boundary condition, and numerically confirm all the other rules non-ergodic with some boundary condition. We classify ergodic rules into several patterns, which exhibit a variety of ergodic structure.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 12","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-025-03529-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145561062","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
Maximal large deviations for sequential dynamical systems 序列动力系统的最大大偏差
IF 1.2 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2025-11-14 DOI: 10.1007/s10955-025-03546-2
Hongfei Cui, Can Wang
{"title":"Maximal large deviations for sequential dynamical systems","authors":"Hongfei Cui,&nbsp;Can Wang","doi":"10.1007/s10955-025-03546-2","DOIUrl":"10.1007/s10955-025-03546-2","url":null,"abstract":"<div><p>We establish a maximal large deviation principle for sequential dynamical systems with arbitrarily slow polynomial decay of correlations. We apply our result to a larger class of sequential interval maps, including Liverani-Saussol-Vaienti maps, intermittent maps with critical points, and Lasota-Yorke convex maps. We also recover several classical results on large deviations for these maps.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 12","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145511045","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-Localized States for Clock Models on Trees and Their Extremal Decomposition into Glassy States 树上时钟模型的a定域态及其玻璃态极值分解
IF 1.2 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2025-11-13 DOI: 10.1007/s10955-025-03543-5
Christof Külske, Niklas Schubert
{"title":"A-Localized States for Clock Models on Trees and Their Extremal Decomposition into Glassy States","authors":"Christof Külske,&nbsp;Niklas Schubert","doi":"10.1007/s10955-025-03543-5","DOIUrl":"10.1007/s10955-025-03543-5","url":null,"abstract":"<div><p>We consider <span>(mathbb {Z}_q)</span>-valued clock models on a regular tree, for general classes of ferromagnetic nearest neighbor interactions which have a discrete rotational symmetry. It has been proved recently that, at strong enough coupling, families of homogeneous Markov chain Gibbs states <span>(mu _A)</span> coexist whose single-site marginals concentrate on <span>(Asubset mathbb {Z}_q)</span>, and which are not convex combinations of each other [1]. In this note, we aim at a description of the extremal decomposition of <span>(mu _A)</span> for <span>(|A|ge 2)</span> into all extremal Gibbs measures, which may be spatially inhomogeneous. First, we show that in regimes of very strong coupling, <span>(mu _A)</span> is not extremal. Moreover, <span>(mu _A)</span> possesses a single-site reconstruction property which holds for spin values sent from the origin to infinity, when these initial values are chosen from <i>A</i>. As our main result, we show that <span>(mu _A)</span> decomposes into uncountably many extremal inhomogeneous states. The proof is based on multi-site reconstruction which allows to derive concentration properties of branch overlaps. Our method is based on a new good site/bad site decomposition adapted to the <i>A</i>-localization property, together with a coarse graining argument in local state space.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 12","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-025-03543-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145510849","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
Chemical Continuous Time Random Walks under Anomalous Diffusion 反常扩散下的化学连续时间随机漫步
IF 1.2 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2025-11-12 DOI: 10.1007/s10955-025-03545-3
Hong Zhang, Guohua Li, Zhaoyue Feng, Ting Liu
{"title":"Chemical Continuous Time Random Walks under Anomalous Diffusion","authors":"Hong Zhang,&nbsp;Guohua Li,&nbsp;Zhaoyue Feng,&nbsp;Ting Liu","doi":"10.1007/s10955-025-03545-3","DOIUrl":"10.1007/s10955-025-03545-3","url":null,"abstract":"<div><p>The chemical master equation plays an important role in describing the time evolution of the probability of the number of reactants in a homogeneous chemical system. However, in complex systems, chemical reactions are often coupled with physical diffusion processes, which have a significant impact on the reaction dynamics, rendering the classical chemical master equation inadequate. Moreover, the reaction and diffusion processes are typically nonhomogeneous, further altering the time evolution of the chemical dynamic process. In this paper we propose a chemical continuous time random walks under anomalous diffusion model based on the renewal process where the waiting times are arbitrary distributed. By applying this model, we obtain the generalizations of the chemical diffusion master equation, the mass action laws, the fluctuation-dissipation theorem in the closed system, and the Gillespie algorithm to describe the effects of physical diffusion and the heterogeneity of the system. As an example, we analyze the monomolecular reaction-diffusion system with exponential and power-law waiting times, respectively, and show the fractional memory effect of the average of the concentrations of reactants on its history. This work gives one approach to describe anomalous diffusion with any reaction, and provides the systematic stochastic theory for modeling the heterogeneous chemical diffusive system.</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":"145493465","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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