Non-Markovianity, entropy production, and Jarzynski equality
Abstract
We explore the role a non-Markovian memory kernel plays on information exchange and entropy production in the context of a external work protocol. The Jarzynski Equality is shown to hold for both the harmonic and the non-harmonic models. We observe the memory function acts as an information pump, recovering part of the information lost to the thermal reservoir as a consequence of the non-equilibrium work protocol. The pumping action occurs for both the harmonic and non-harmonic cases. Unexpectedly, we found that the harmonic model does not produce entropy, regardless of the work protocol. The presence of even a small amount of non-linearity recovers the more normal entropy producing behaviour, for out-of-equilibrium protocols.
Keywords
Cite
@article{arxiv.2009.14290,
title = {Non-Markovianity, entropy production, and Jarzynski equality},
author = {J. Martins and L. Defaveri and D. O. Soares-Pinto and S. M. D. Queirós and W. A. M. Morgado},
journal= {arXiv preprint arXiv:2009.14290},
year = {2021}
}
Comments
32 pages, 18 figures