Journal of Statistical Physics最新文献_第6页

Relativistic One-Dimensional Billiards 相对论一维台球

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2024-11-25 DOI: 10.1007/s10955-024-03364-y

Alfonso Artigue

引用次数: 0

The Pirogov–Sinai Theory for Infinite Interactions 无限相互作用的皮罗戈夫-西奈理论

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2024-11-25 DOI: 10.1007/s10955-024-03370-0

A. Mazel, I. Stuhl, Y. Suhov

引用次数: 0

Geometric Aspects of a Spin Chain 自旋链的几何方面

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2024-11-25 DOI: 10.1007/s10955-024-03332-6

Michael Entov, Leonid Polterovich, Lenya Ryzhik

{"title":"Geometric Aspects of a Spin Chain","authors":"Michael Entov, Leonid Polterovich, Lenya Ryzhik","doi":"10.1007/s10955-024-03332-6","DOIUrl":"10.1007/s10955-024-03332-6","url":null,"abstract":"<div>We discuss non-equilibrium thermodynamics of the mean-field Ising model from a geometric perspective, focusing on the thermodynamic limit. When the number of spins is finite, the Gibbs equilibria form a smooth Legendrian submanifold in the thermodynamic phase space whose points describe the stable macroscopic states of the system. We describe the convergence of these smooth Legendrian submanifolds, as the number of spins goes to infinity, to a singular Legendrian submanifold, admitting an analytic continuation that contains both the stable and metastable states. We also discuss the relaxation to a Gibbs equilibrium when the physical parameters are changed abruptly. The relaxation is defined via the gradient flow of the free energy with respect to the Wasserstein metric on microscopic states, that is, in the geometric language, via the gradient flow of the generating function of the equilibrium Legendrian with respect to the ghost variables. This leads to a discrete Fokker-Planck equation when the number of spins is finite. We show that in the thermodynamic limit this description is closely related to the seminal model of relaxation proposed by Glauber. Finally, we find a special range of parameters where such relaxation happens instantaneously, along the Reeb chords connecting the initial and the terminal Legendrian submanifolds.</div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"191 12","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142694831","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

Propagation of Chaos and Phase Transition in a Stochastic Model for a Social Network 社交网络随机模型中的混沌传播与相变

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2024-11-25 DOI: 10.1007/s10955-024-03365-x

Eva Löcherbach, Kádmo Laxa

{"title":"Propagation of Chaos and Phase Transition in a Stochastic Model for a Social Network","authors":"Eva Löcherbach, Kádmo Laxa","doi":"10.1007/s10955-024-03365-x","DOIUrl":"10.1007/s10955-024-03365-x","url":null,"abstract":"<div>We consider a model for a social network with N interacting social actors. This model is a system of interacting marked point processes in which each point process indicates the successive times in which a social actor expresses a “favorable” ((+1)) or “contrary” ((-1)) opinion. The orientation and the rate at which an actor expresses an opinion is influenced by the social pressure exerted on this actor. The social pressure of an actor is reset to 0 when the actor expresses an opinion, and simultaneously the social pressures on all the other actors change by h/N in the direction of the opinion that was just expressed. We prove propagation of chaos of the system, as N diverges to infinity, to a limit nonlinear jumping stochastic differential equation. Moreover, we prove that under certain conditions the limit system exhibits a phase transition described as follows. If h is smaller or equal than a certain threshold, the limit system has only the null Dirac measure as an invariant probability measure, corresponding to a vanishing social pressure on all actors. However, if h is greater than the threshold, the system has two additional non-trivial invariant probability measures. One of these measures has support on the positive real numbers and the other is obtained by symmetrization with respect to 0, having thus support on the negative real numbers.</div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"191 12","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142694799","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

Mean Field Limits of a Class of Conservative Systems with Position-Dependent Transition Rates 一类保守系统的平均场极限与位置相关的转换率

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2024-11-22 DOI: 10.1007/s10955-024-03372-y

Xiaofeng Xue

引用次数: 0

Dynamical Transition of Quantum Scrambling in a Non-Hermitian Floquet Synthetic System 非ermitian Floquet 合成系统中的量子争用动态转变

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2024-11-21 DOI: 10.1007/s10955-024-03368-8

Liang Huo, Han Ke, Wen-Lei Zhao

引用次数: 0

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