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	Reversibility and entropy production of inhomogeneous Markov chains
	Ge, Hao ; Jiang, Da-Quan ; Qian, Min
	2006
关键词	Brownian motor inhomogeneous Markov chain instantaneous reversibility instantaneous entropy production rotation number FOKKER-PLANCK EQUATIONS NONEQUILIBRIUM STATES STOCHASTIC RESONANCE TRANSPORT PROCESSES MOLECULAR MOTORS BROWNIAN MOTORS RATCHETS TIME
英文摘要	In this paper we introduce the concepts of instantaneous reversibility and instantaneous entropy production rate for inhomogeneous Markov chains with denumerable state spaces. The following statements are proved to be equivalent: the inhomogeneous Markov chain is instantaneously reversible; it is in detailed balance; its entropy production rate vanishes. In particular, for a time-periodic birth-death chain, which can be regarded as a simple version of a physical model (Brownian motors), we prove that its rotation number is 0 when it is instantaneously reversible or periodically reversible. Hence, in our model of Markov chains, the directed transport phenomenon of Brownian motors can occur only in nonequilibrium and irreversible systems.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000243308600010&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Statistics & Probability; SCI(E); 8; ARTICLE; 4; 1028-1043; 43
语种	英语
出处	SCI
出版者	应用概率杂志
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/314940]
专题	数学科学学院
推荐引用方式 GB/T 7714	Ge, Hao,Jiang, Da-Quan,Qian, Min. Reversibility and entropy production of inhomogeneous Markov chains. 2006-01-01.

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