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

Liang, Cao and Cross, Michael and Zhi-Gang, Zheng (2012) Failure of the free energy relation under a non-Markovian heat bath temperature change. Chinese Physics B, 21 (9). Art. No. 090501. ISSN 1674-1056. http://resolver.caltech.edu/CaltechAUTHORS:20121101-100531516

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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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1088/1674-1056/21/9/090501DOIUNSPECIFIED
http://iopscience.iop.org/1674-1056/21/9/090501/PublisherUNSPECIFIED
Additional Information:© 2012 Chinese Physical Society and IOP Publishing Ltd. Received 20 March 2012; revised manuscript received 24 May 2012. 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). Cao L thanks the support from the China Scholarship Council.
Funders:
Funding AgencyGrant Number
National Natural Science Foundation of China10875011
National Natural Science Foundation of China11075016
National Basic Research Program of China2007CB814805
Central Universities of China Fundamental Research Funds201001
Higher Education of China Doctoral Program Research Fund20100003110007
China Scholarship Council (CSC)UNSPECIFIED
Subject Keywords:free energy relation, non-Markovian heat bath, initial preparation effect
Classification Code:PACS: 05.20.–y, 05.40.–a, 05.70.Ln
Record Number:CaltechAUTHORS:20121101-100531516
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20121101-100531516
Official Citation:Failure of the free energy relation under a non-Markovian heat bath temperature change Cao Liang (曹 亮) et al 2012 Chinese Phys. B 21 090501
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:35230
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:02 Nov 2012 00:00
Last Modified:02 Nov 2012 00:00

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