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	A simple discrete model of Brownian motors: Time-periodic Markov chains
	Ge, Hao ; Jiang, Da-Quan ; Qian, Min
	2006
关键词	Brownian motor time-periodic Markov chain periodical reversibility detailed balance entropy production circulation fluctuation theorem FOKKER-PLANCK EQUATIONS STOCHASTIC RESONANCE ENTROPY PRODUCTION NONEQUILIBRIUM STATES FLUCTUATION THEOREM MOLECULAR MOTORS RATCHETS EQUILIBRIUM DYNAMICS SYSTEMS
英文摘要	In this paper, we consider periodically inhomogeneous Markov chains, which can be regarded as a simple version of physical model - Brownian motors. We introduce for them the concepts of periodical reversibility, detailed balance, entropy production rate and circulation distribution. We prove the equivalence of the following statements: The time-periodic Markov chain is periodically reversible; It is in detailed balance; Kolmogorov's cycle condition is satisfied; Its entropy production rate vanishes; Every circuit and its reversed circuit have the same circulation weight. Hence, in our model of Markov chains, the directed transport phenomenon of Brownian motors, i.e. the existence of net circulation, can occur only in nonequilibrium and irreversible systems. Moreover, we verify the large deviation property and the Gallavotti-Cohen fluctuation theorem of sample entropy production rates of the Markov chain.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000240382500008&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Physics, Mathematical; SCI(E); 10; ARTICLE; 4; 831-859; 123
语种	英语
出处	SCI
出版者	统计物理学杂志
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157907]
专题	数学科学学院
推荐引用方式 GB/T 7714	Ge, Hao,Jiang, Da-Quan,Qian, Min. A simple discrete model of Brownian motors: Time-periodic Markov chains. 2006-01-01.

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