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Failure of the free non-Markovian heat energy relation under a bath temperature change
Authors:Cao Liang  Michael Cross  and Zheng Zhi-Gang
Institution:[1]Department of Physics, Beijing Normal University, Beijing 100875, China [2]Department of Physics, California Institute of Technology, Pasadena CA 91125, USA
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
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