[en] We consider a classical and possibly driven composite system X ⊗ Y weakly coupled to a Markovian thermal
<br /><br /><br /><br /><br /><br />reservoir R so that an unambiguous stochastic thermodynamics ensues for X ⊗ Y . This setup can be equivalently
<br /><br /><br /><br /><br /><br />seen as a system X strongly coupled to a non-Markovian reservoir Y ⊗ R. We demonstrate that only in the limit
<br /><br /><br /><br /><br /><br />where the dynamics of Y is much faster than X, our unambiguous expressions for thermodynamic quantities,
<br /><br /><br /><br /><br /><br />such as heat, entropy, or internal energy, are equivalent to the strong coupling expressions recently obtained in
<br /><br /><br /><br /><br /><br />the literature using the Hamiltonian of mean force. By doing so, we also significantly extend these results by
<br /><br /><br /><br /><br /><br />formulating them at the level of instantaneous rates and by allowing for time-dependent couplings between X and
<br /><br /><br /><br /><br /><br />its environment. Away from the limit where Y evolves much faster than X, previous approaches fail to reproduce
<br /><br /><br /><br /><br /><br />the correct results from the original unambiguous formulation, as we illustrate numerically for an underdamped
<br /><br /><br /><br /><br /><br />Brownian particle coupled strongly to a non-Markovian reservoir.
Disciplines :
Physics
Author, co-author :
Strasberg, Philipp ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit
Esposito, Massimiliano ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit
External co-authors :
no
Language :
English
Title :
Stochastic thermodynamics in the strong coupling regime: An unambiguous approach based on coarse graining
Publication date :
01 June 2017
Journal title :
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
ISSN :
1550-2376
Publisher :
American Physical Society, College Park, United States - Maryland
Peer reviewed :
Peer Reviewed verified by ORBi
Focus Area :
Physics and Materials Science
FnR Project :
FNR1165601 - A New Thermodynamic Theory For Small Fluctuating Systems: From Nanodevices To Cellular Biology, 2011 (01/01/2012-30/06/2017) - Massimiliano Esposito