{"title":"Macroscopic Fluctuation Theory for Ginzburg–Landau Dynamics with Long-Range Interactions","authors":"Cédric Bernardin, Raphaël Chetrite","doi":"10.1007/s10955-024-03384-8","DOIUrl":null,"url":null,"abstract":"<div><p>Focusing on a famous class of interacting diffusion processes called Ginzburg–Landau dynamics, we extend the Macroscopic Fluctuations Theory to these systems in the case where the interactions are long-range, and consequently, the macroscopic effective equations are described by non-linear fractional diffusion equations.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 1","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2025-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Statistical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s10955-024-03384-8","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
引用次数: 0
Abstract
Focusing on a famous class of interacting diffusion processes called Ginzburg–Landau dynamics, we extend the Macroscopic Fluctuations Theory to these systems in the case where the interactions are long-range, and consequently, the macroscopic effective equations are described by non-linear fractional diffusion equations.
期刊介绍：
The Journal of Statistical Physics publishes original and invited review papers in all areas of statistical physics as well as in related fields concerned with collective phenomena in physical systems.
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