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Cutoff Ergodicity Bounds in Wasserstein Distance for a Viscous Energy Shell Model with Lévy Noise 具有莱维噪声的粘性能壳模型的瓦瑟斯坦距离截点厄尔戈德性边界
IF 1.3 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2024-08-27 DOI: 10.1007/s10955-024-03308-6
G. Barrera, M. A. Högele, J. C. Pardo, I. Pavlyukevich
{"title":"Cutoff Ergodicity Bounds in Wasserstein Distance for a Viscous Energy Shell Model with Lévy Noise","authors":"G. Barrera,&nbsp;M. A. Högele,&nbsp;J. C. Pardo,&nbsp;I. Pavlyukevich","doi":"10.1007/s10955-024-03308-6","DOIUrl":"10.1007/s10955-024-03308-6","url":null,"abstract":"<div><p>This article establishes explicit non-asymptotic ergodic bounds in the renormalized Wasserstein–Kantorovich–Rubinstein (WKR) distance for a viscous energy shell lattice model of turbulence with random energy injection. The system under consideration is driven either by a Brownian motion, a symmetric <span>(alpha )</span>-stable Lévy process, a stationary Gaussian or <span>(alpha )</span>-stable Ornstein–Uhlenbeck process, or by a general Lévy process with second moments. The obtained non-asymptotic bounds establish asymptotically abrupt thermalization. The analysis is based on the explicit representation of the solution of the system in terms of convolutions of Bessel functions.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"191 9","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-024-03308-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142200394","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
Infinite-Volume Gibbs States of the Generalized Mean-Field Orthoplicial Model 广义均场正交模型的无限体积吉布斯态
IF 1.3 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2024-08-27 DOI: 10.1007/s10955-024-03321-9
Kalle Koskinen
{"title":"Infinite-Volume Gibbs States of the Generalized Mean-Field Orthoplicial Model","authors":"Kalle Koskinen","doi":"10.1007/s10955-024-03321-9","DOIUrl":"10.1007/s10955-024-03321-9","url":null,"abstract":"<div><p>The generalized mean-field orthoplicial model is a mean-field model on a space of continuous spins on <span>(mathbb {R}^n)</span> that are constrained to a scaled <span>((n-1))</span>-dimensional <span>(ell _1)</span>-sphere, equivalently a scaled <span>((n-1))</span>-dimensional orthoplex, and interact through a general interaction function. The finite-volume Gibbs states of this model correspond to singular probability measures. In this paper, we use probabilistic methods to rigorously classify the infinite-volume Gibbs states of this model, and we show that they are convex combinations of product states. The predominant methods utilize the theory of large deviations, relative entropy, and equivalence of ensembles, and the key technical tools utilize exact integral representations of certain partition functions and locally uniform estimates of expectations of certain local observables.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"191 9","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-024-03321-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142200396","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
Faithfulness of Real-Space Renormalization Group Maps 实空间重正化群映射的忠实性
IF 1.3 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2024-08-27 DOI: 10.1007/s10955-024-03323-7
Katsuya O. Akamatsu, Naoki Kawashima
{"title":"Faithfulness of Real-Space Renormalization Group Maps","authors":"Katsuya O. Akamatsu,&nbsp;Naoki Kawashima","doi":"10.1007/s10955-024-03323-7","DOIUrl":"10.1007/s10955-024-03323-7","url":null,"abstract":"<div><p>The behavior of <span>(b=2)</span> real-space renormalization group (RSRG) maps like the majority rule and the decimation map was examined by numerically applying RSRG steps to critical <span>(q=2,3,4)</span> Potts spin configurations. While the majority rule is generally believed to work well, a more thorough investigation of the action of the map has yet to be considered in the literature. When fixing the size of the renormalized lattice <span>(L_g)</span> and allowing the source configuration size <span>(L_0)</span> to vary, we observed that the RG flow of the spin and energy correlation under the majority rule map appear to converge to a nontrivial model-dependent curve. We denote this property as “faithfulness”, because it implies that some information remains preserved by RSRG maps that fall under this class. Furthermore, we show that <span>(b=2)</span> weighted majority-like RSRG maps acting on the <span>(q=2)</span> Potts model can be divided into two categories, maps that behave like decimation and maps that behave like the majority rule.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"191 9","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-024-03323-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142200397","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
Functional Limit Theorems for Dynamical Systems with Correlated Maximal Sets 具有相关最大集的动力系统的函数极限定理
IF 1.3 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2024-08-27 DOI: 10.1007/s10955-024-03322-8
Raquel Couto
{"title":"Functional Limit Theorems for Dynamical Systems with Correlated Maximal Sets","authors":"Raquel Couto","doi":"10.1007/s10955-024-03322-8","DOIUrl":"10.1007/s10955-024-03322-8","url":null,"abstract":"<div><p>In order to obtain functional limit theorems for heavy-tailed stationary processes arising from dynamical systems, one needs to understand the clustering patterns of the tail observations of the process. These patterns are well described by means of a structure called the pilling process introduced recently in the context of dynamical systems. So far, the pilling process has been computed only for observable functions maximised at a single repelling fixed point. Here, we study richer clustering behaviours by considering correlated maximal sets, in the sense that the observable is maximised in multiple points belonging to the same orbit, and we work out explicit expressions for the pilling process when the dynamics is piecewise linear and expanding (1-dimensional and 2-dimensional).</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"191 9","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-024-03322-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142200395","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
Long-Range First-Passage Percolation on the Torus 环面上的远距离第一通道渗流
IF 1.3 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2024-08-27 DOI: 10.1007/s10955-024-03325-5
Remco van der Hofstad, Bas Lodewijks
{"title":"Long-Range First-Passage Percolation on the Torus","authors":"Remco van der Hofstad,&nbsp;Bas Lodewijks","doi":"10.1007/s10955-024-03325-5","DOIUrl":"10.1007/s10955-024-03325-5","url":null,"abstract":"<div><p>We study a geometric version of first-passage percolation on the complete graph, known as long-range first-passage percolation. Here, the vertices of the complete graph <span>(mathcal {K}_n)</span> are embedded in the <i>d</i>-dimensional torus <span>(mathbb T_n^d)</span>, and each edge <i>e</i> is assigned an independent transmission time <span>(T_e=Vert eVert _{mathbb T_n^d}^alpha E_e)</span>, where <span>(E_e)</span> is a rate-one exponential random variable associated with the edge <i>e</i>, <span>(Vert cdot Vert _{mathbb T_n^d})</span> denotes the torus-norm, and <span>(alpha ge 0)</span> is a parameter. We are interested in the case <span>(alpha in [0,d))</span>, which corresponds to the instantaneous percolation regime for long-range first-passage percolation on <span>(mathbb {Z}^d)</span> studied by Chatterjee and Dey [14], and which extends first-passage percolation on the complete graph (the <span>(alpha =0)</span> case) studied by Janson [24]. We consider the typical distance, flooding time, and diameter of the model. Our results show a 1, 2, 3-type result, akin to first-passage percolation on the complete graph as shown by Janson. The results also provide a quantitative perspective to the qualitative results observed by Chatterjee and Dey on <span>(mathbb {Z}^d)</span>.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"191 9","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-024-03325-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142200401","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
Inferring Kinetics and Entropy Production from Observable Transitions in Partially Accessible, Periodically Driven Markov Networks 从部分可访问、周期性驱动马尔可夫网络中的可观测转换推断动力学和熵的产生
IF 1.3 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2024-08-14 DOI: 10.1007/s10955-024-03315-7
Alexander M. Maier, Julius Degünther, Jann van der Meer, Udo Seifert
{"title":"Inferring Kinetics and Entropy Production from Observable Transitions in Partially Accessible, Periodically Driven Markov Networks","authors":"Alexander M. Maier,&nbsp;Julius Degünther,&nbsp;Jann van der Meer,&nbsp;Udo Seifert","doi":"10.1007/s10955-024-03315-7","DOIUrl":"10.1007/s10955-024-03315-7","url":null,"abstract":"<div><p>For a network of discrete states with a periodically driven Markovian dynamics, we develop an inference scheme for an external observer who has access to some transitions. Based on waiting-time distributions between these transitions, the periodic probabilities of states connected by these observed transitions and their time-dependent transition rates can be inferred. Moreover, the smallest number of hidden transitions between accessible ones and some of their transition rates can be extracted. We prove and conjecture lower bounds on the total entropy production for such periodic stationary states. Even though our techniques are based on generalizations of known methods for steady states, we obtain original results for those as well.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"191 8","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-024-03315-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142200399","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
Diameters of Symmetric and Lifted Simple Exclusion Models 对称和提升简单排除模型的直径
IF 1.3 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2024-08-13 DOI: 10.1007/s10955-024-03312-w
Xusheng Zhang, Werner Krauth
{"title":"Diameters of Symmetric and Lifted Simple Exclusion Models","authors":"Xusheng Zhang,&nbsp;Werner Krauth","doi":"10.1007/s10955-024-03312-w","DOIUrl":"10.1007/s10955-024-03312-w","url":null,"abstract":"<div><p>We determine diameters of Markov chains describing one-dimensional <i>N</i>-particle models with an exclusion interaction, namely the symmetric simple exclusion process (<span>Ssep</span>) and one of its non-reversible liftings, the lifted totally asymmetric simple exclusion process (<span>Tasep</span>). The diameters provide lower bounds for the mixing times, and we discuss the implications of our findings for the analysis of these models.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"191 8","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-024-03312-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142200400","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
Correction to: Entropy of Irregular Points for Some Dynamical Systems 更正：某些动力系统不规则点的熵
IF 1.3 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2024-08-12 DOI: 10.1007/s10955-024-03317-5
Katrin Gelfert, Maria José Pacifico, Diego Sanhueza
{"title":"Correction to: Entropy of Irregular Points for Some Dynamical Systems","authors":"Katrin Gelfert,&nbsp;Maria José Pacifico,&nbsp;Diego Sanhueza","doi":"10.1007/s10955-024-03317-5","DOIUrl":"10.1007/s10955-024-03317-5","url":null,"abstract":"","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"191 8","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142411424","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
Existence and Uniqueness of Nonsimple Multiple SLE 非简单多重 SLE 的存在性和唯一性
IF 1.3 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2024-08-11 DOI: 10.1007/s10955-024-03306-8
Dapeng Zhan
{"title":"Existence and Uniqueness of Nonsimple Multiple SLE","authors":"Dapeng Zhan","doi":"10.1007/s10955-024-03306-8","DOIUrl":"10.1007/s10955-024-03306-8","url":null,"abstract":"<div><p>We prove the existence and uniqueness of multiple <span>(hbox {SLE}_{kappa })</span> associated with any given link pattern for <span>(kappa in (4,6])</span>. We also have the uniqueness for <span>(kappa in (6,8))</span>. The multiple <span>(hbox {SLE}_{kappa })</span> law is constructed by first inductively constructing a <span>(sigma )</span>-finite multiple <span>(hbox {SLE}_{kappa })</span> measure and then normalizing the measure whenever it is finite. The total mass of the measure satisfies the conformal covariance, asymptotics and PDE for multiple <span>(hbox {SLE}_{kappa })</span> partition functions in the literature subject to the assumption that it is smooth.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"191 8","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141940092","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
Prethermalization and Conservation Laws in Quasi-Periodically Driven Quantum Systems 准周期驱动量子系统中的预热和守恒定律
IF 1.3 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2024-08-10 DOI: 10.1007/s10955-024-03313-9
Matteo Gallone, Beatrice Langella
{"title":"Prethermalization and Conservation Laws in Quasi-Periodically Driven Quantum Systems","authors":"Matteo Gallone,&nbsp;Beatrice Langella","doi":"10.1007/s10955-024-03313-9","DOIUrl":"10.1007/s10955-024-03313-9","url":null,"abstract":"<div><p>We study conservation laws of a general class of quantum many-body systems subjected to an external time dependent quasi-periodic driving. When the frequency of the driving is large enough or the strength of the driving is small enough, we prove a Nekhoroshev-type stability result: we show that the system exhibits a prethermal state for stretched exponentially long times in the perturbative parameter. Moreover, we prove the quasi-conservation of the constants of motion of the unperturbed Hamiltonian and we analyze their physical meaning in examples of relevance to condensed matter and statistical physics.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"191 8","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141940093","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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