Journal of Statistical Physics最新文献_第9页

Maxentropy Completion and Properties of Some Partially Defined Stationary Markov Chains 某些部分定义的固定马尔可夫链的最大熵完备性及其特性

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2024-11-21 DOI: 10.1007/s10955-024-03369-7

Pierre Collet, Servet Martínez

引用次数: 0

Hidden Temperature in the KMP Model KMP 模型中隐藏的温度

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2024-11-12 DOI: 10.1007/s10955-024-03363-z

Anna de Masi, Pablo A. Ferrari, Davide Gabrielli

{"title":"Hidden Temperature in the KMP Model","authors":"Anna de Masi, Pablo A. Ferrari, Davide Gabrielli","doi":"10.1007/s10955-024-03363-z","DOIUrl":"10.1007/s10955-024-03363-z","url":null,"abstract":"<div>In the Kipnis Marchioro Presutti model a positive energy (zeta _i) is associated with each vertex i of a finite graph with a boundary. When a Poisson clock rings at an edge ij with energies (zeta _i,zeta _j), those values are substituted by (U(zeta _i+zeta _j)) and ((1-U)(zeta _i+zeta _j)), respectively, where U is a uniform random variable in (0, 1). A value (T_jge 0) is fixed at each boundary vertex j. The dynamics is defined in such way that the resulting Markov process (zeta (t)), satisfies that (zeta _j(t)) is exponential with mean (T_j), for each boundary vertex j, for all t. We show that the invariant measure is the distribution of a vector (zeta ) with coordinates (zeta _i=T_iX_i), where (X_i) are iid exponential(1) random variables, the law of T is the invariant measure for an opinion random averaging/gossip model with the same boundary conditions of (zeta ), and the vectors X and T are independent. The result confirms a conjecture based on the large deviations of the model. When the graph is one-dimensional, we bound the correlations of the invariant measure and perform the hydrostatic limit. We show that the empirical measure of a configuration chosen with the invariant measure converges to the linear interpolation of the boundary values.</div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"191 11","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142600628","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

Bad Local Minima Exist in the Stochastic Block Model 随机区块模型中存在坏的局部极小值

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2024-11-11 DOI: 10.1007/s10955-024-03366-w

Amin Coja-Oghlan, Lena Krieg, Johannes Christian Lawnik, Olga Scheftelowitsch

引用次数: 0

Polymer in a Multi-Interface Medium with Weak Repulsion 弱斥力多界面介质中的聚合物

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2024-11-11 DOI: 10.1007/s10955-024-03352-2

Elric Angot

{"title":"Polymer in a Multi-Interface Medium with Weak Repulsion","authors":"Elric Angot","doi":"10.1007/s10955-024-03352-2","DOIUrl":"10.1007/s10955-024-03352-2","url":null,"abstract":"<div>Pinning phenomena for long linear polymers have been studied for a long time. In 2009 Caravenna and Pétrélis (Electron J Probab 14(70):2038–2067, 2009) investigated the effect of a periodic and repulsive multi-interface medium on a ((1+1))-directed polymer model, when the distance between consecutive interfaces scales with the length of the polymer and with a constant temperature. In this paper, we extend that model and consider weak repulsion, by letting both the temperature and the distance between interfaces scale with the length of the polymer. We obtain a full diagram for this model, showing the behaviour of the polymer depending on the scaling exponents associated to the repulsion and the spacing parameters. When the repulsion is not too weak compared to the interface spacing, we obtain different regimes that extend those obtained by Caravenna and Pétrélis, and either finitely or infinitely many interfaces are visited. When the two exponents match we obtain a diffusive regime with a non-trivial and temperature-dependent diffusion constant. Our key tools include the renewal approach used in the original paper as well as new sharp results on the simple random walk evolving between interfaces.</div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"191 11","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142600562","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

Condensation in Zero-Range Processes with a Fast Rate 零范围过程中的快速凝结

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2024-11-02 DOI: 10.1007/s10955-024-03362-0

Watthanan Jatuviriyapornchai, Stefan Grosskinsky

引用次数: 0

Lattice Fundamental Measure Theory Beyond 0D Cavities: Dimers on Square Lattices 超越 0D 空腔的晶格基本量度理论：方格上的二聚体

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2024-10-30 DOI: 10.1007/s10955-024-03350-4

Michael Zimmermann, Martin Oettel

{"title":"Lattice Fundamental Measure Theory Beyond 0D Cavities: Dimers on Square Lattices","authors":"Michael Zimmermann, Martin Oettel","doi":"10.1007/s10955-024-03350-4","DOIUrl":"10.1007/s10955-024-03350-4","url":null,"abstract":"<div>Using classical density functional theory, we study the behavior of dimers, i.e. hard rods of length (L=2), on a two-dimensional cubic lattice. For deriving a free energy functional, we employ Levy’s prescription which is based on the minimization of a microscopic free energy with respect to the many-body probability under the constraint of a fixed density profile. Using that, we recover the \"0D cavity\" functional originally found by Lafuente and Cuesta and derive an extension by applying a more general \"cluster density functional theory\" method introduced by Lafuente and Cuesta as well. Moreover, we introduce a new free energy functional, which is based on approximated configurational probabilities. Both derived free energy functionals are exact on cavities that can hold at most two particles simultaneously. The first functional allows to improve the prediction of the free energy in bulk and both of them improve the prediction in highly confined systems, especially for high packing fractions, in comparison to the \"0D cavity\" functional.</div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"191 11","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-024-03350-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142540674","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

Fluctuations of the Free Energy of the Spherical Sherrington–Kirkpatrick Model with Heavy-Tailed Interaction 重尾相互作用球形谢林顿-柯克帕特里克模型自由能的波动

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2024-10-30 DOI: 10.1007/s10955-024-03358-w

Taegyun Kim, Ji Oon Lee

引用次数: 0

Fluctuations of the Occupation Density for a Parking Process 停车过程中的占用密度波动

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2024-10-30 DOI: 10.1007/s10955-024-03336-2

Cristian F. Coletti, Sandro Gallo, Alejandro Roldán-Correa, León A. Valencia

{"title":"Fluctuations of the Occupation Density for a Parking Process","authors":"Cristian F. Coletti, Sandro Gallo, Alejandro Roldán-Correa, León A. Valencia","doi":"10.1007/s10955-024-03336-2","DOIUrl":"10.1007/s10955-024-03336-2","url":null,"abstract":"<div>Consider the following simple parking process on (Lambda _n:= {-n, ldots , n}^d,dge 1): at each step, a site i is chosen at random in (Lambda _n) and if i and all its nearest neighbor sites are empty, i is occupied. Once occupied, a site remains so forever. The process continues until all sites in (Lambda _n) are either occupied or have at least one of their nearest neighbors occupied. The final configuration (occupancy) of (Lambda _n) is called the jamming limit and is denoted by (X_{Lambda _n}). Ritchie (J Stat Phys 122:381–398, 2006) constructed a stationary random field on (mathbb {Z}^d) obtained as a (thermodynamic) limit of the (X_{Lambda _n})’s as n tends to infinity. As a consequence of his construction, he proved a strong law of large numbers for the proportion of occupied sites in the box (Lambda _n) for the random field X. Here we prove the central limit theorem, the law of iterated logarithm, and a gaussian concentration inequality for the same statistics. A particular attention will be given to the case (d=1), in which we also obtain new asymptotic properties for the sequence (X_{Lambda _n},nge 1).</div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"191 11","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-024-03336-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142555246","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

A Consistent Kinetic Fokker–Planck Model for Gas Mixtures 气体混合物的一致动力学福克-普朗克模型

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2024-10-29 DOI: 10.1007/s10955-024-03361-1

Marlies Pirner

引用次数: 0

Distributional Chaos in the Zero Topological Entropy Subsets of Non-Dense Orbits 非密集轨道零拓扑熵子集的分布混沌

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2024-10-28 DOI: 10.1007/s10955-024-03360-2

An Chen, Xiaobo Hou, Wanshan Lin, Xueting Tian

引用次数: 0