Journal of Statistical Mechanics: Theory and Experiment最新文献

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An active fractional Ornstein–Uhlenbeck particle: diffusion and dissipation 活跃的分数奥恩斯坦-乌伦贝克粒子:扩散和耗散
Journal of Statistical Mechanics: Theory and Experiment Pub Date : 2024-07-15 DOI: 10.1088/1742-5468/ad5714
Norodin A. Rangaig
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引用次数: 0
Universality in coupled stochastic Burgers systems with degenerate flux Jacobian 具有退化通量雅各布的耦合随机布尔格斯系统中的普遍性
Journal of Statistical Mechanics: Theory and Experiment Pub Date : 2024-01-12 DOI: 10.1088/1742-5468/ad3196
Dipankar Roy, Abhishek Dhar, Konstantin Khanin, M. Kulkarni, Herbert Spohn
{"title":"Universality in coupled stochastic Burgers systems with degenerate flux Jacobian","authors":"Dipankar Roy, Abhishek Dhar, Konstantin Khanin, M. Kulkarni, Herbert Spohn","doi":"10.1088/1742-5468/ad3196","DOIUrl":"https://doi.org/10.1088/1742-5468/ad3196","url":null,"abstract":"\u0000 In our contribution we study stochastic models in one space dimension with two conservation laws. One model is the coupled continuum stochastic Burgers equation, for which each current is a sum of quadratic nonlinearities, linear diffusion, and spacetime white noise. The second model is a two-lane stochastic lattice gas. As distinct from previous studies, the two conserved densities are tuned such that the flux Jacobian, a \u0000 \u0000 \u0000 \u0000 2\u0000 ×\u0000 2\u0000 \u0000 \u0000 \u0000 matrix, has coinciding eigenvalues. In the steady state, spacetime correlations of the conserved fields and the time-integrated currents at the origin are investigated. For a particular choice of couplings, the dynamical exponent 3/2 is confirmed. Furthermore, at these couplings, the continuum stochastic Burgers equation and lattice gas are demonstrated to be in the same universality class.","PeriodicalId":506020,"journal":{"name":"Journal of Statistical Mechanics: Theory and Experiment","volume":"53 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140509676","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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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