{ "id": "2009.14290", "version": "v1", "published": "2020-09-29T20:13:27.000Z", "updated": "2020-09-29T20:13:27.000Z", "title": "Non-Markovianity, entropy production, and Jarzynski equality", "authors": [ "J. Martins", "L. Defaveri", "D. O. Soares-Pinto", "S. M. D. Queirós", "W. A. M. Morgado" ], "comment": "32 pages, 18 figures", "categories": [ "cond-mat.stat-mech" ], "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.", "revisions": [ { "version": "v1", "updated": "2020-09-29T20:13:27.000Z" } ], "analyses": { "keywords": [ "jarzynski equality", "entropy production", "non-markovianity", "non-markovian memory kernel plays", "external work protocol" ], "note": { "typesetting": "TeX", "pages": 32, "language": "en", "license": "arXiv", "status": "editable" } } }