Failure of free energy relation under non-Markovian heat bath temperature change

doi:10.1088/1674-1056/21/9/090501

Abstract We investigate the free energy relation for a system contacting with a non-Markovian heat bath and find that the validity of the relation sensitively depends on the non-Markovian memory effect, which is especially related to the initial preparation effect. This memory effect drives the statistical distribution of the system out of the initial preparation, even if the system starts from an equilibrium state. This leads to the violation of the free energy relation. A possible way of eliminating this memory effect is proposed.

Keywords: free energy relation non-Markovian heat bath initial preparation effect

Received: 20 March 2012
Revised: 24 May 2012
Accepted manuscript online:

PACS:	05.20.-y	(Classical statistical mechanics)
	05.40.-a	(Fluctuation phenomena, random processes, noise, and Brownian motion)
	05.70.Ln	(Nonequilibrium and irreversible thermodynamics)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10875011 and 11075016), the National Basic Research Program of China (Grant No. 2007CB814805), the Fundamental Research Funds for the Central Universities of China (Grant No. 201001), and the Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20100003110007).

Corresponding Authors: Zheng Zhi-Gang
E-mail: zgzheng@bnu.edu.cn

Cite this article:

Cao Liang (曹亮), Michael Cross, Zheng Zhi-Gang (郑志刚) Failure of free energy relation under non-Markovian heat bath temperature change 2012 Chin. Phys. B 21 090501

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