{"title":"REVERSIBILITY AND ENTROPY PRODUCTION OF MARKOV PROCESSES","authors":"M. Qian","doi":"10.1090/conm/118/1137974","DOIUrl":null,"url":null,"abstract":"In the present paper,a general probabilistic definition of the entropy production for stochastic processes is given.In the concrete cases of Markov chains and diffussions,we get its explicit expressions,which meet those given by physists and chemists perfectly. Therefore,it could be seen that the entropy production is really a criterion to describe how far a stochastic process is from the reversibility.","PeriodicalId":57248,"journal":{"name":"应用概率统计","volume":"492 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"1985-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"21","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"应用概率统计","FirstCategoryId":"1089","ListUrlMain":"https://doi.org/10.1090/conm/118/1137974","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 21
Abstract
In the present paper,a general probabilistic definition of the entropy production for stochastic processes is given.In the concrete cases of Markov chains and diffussions,we get its explicit expressions,which meet those given by physists and chemists perfectly. Therefore,it could be seen that the entropy production is really a criterion to describe how far a stochastic process is from the reversibility.
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