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Refined Second Law of Thermodynamics for Fast Random Processes |
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| Authors: | Erik Aurell Krzysztof Gawȩdzki Carlos Mejía-Monasterio Roya Mohayaee Paolo Muratore-Ginanneschi |
| Affiliation: | 1.ACCESS Linnaeus Center,KTH,Stockholm,Sweden;2.Computational Biology Department, AlbaNova University Center,KTH,Stockholm,Sweden;3.Department of Information and Computer Science,Aalto University,Aalto,Finland;4.CNRS, Laboratoire de Physique, ENS Lyon,Université de Lyon,Lyon,France;5.Laboratory of Physical Properties, Department of Rural Engineering,Technical University of Madrid,Madrid,Spain;6.CNRS, Institut d’Astrophysique de Paris,Université Pierre et Marie Curie,Paris,France;7.Department of Mathematics and Statistics,University of Helsinki,Helsinki,Finland |
| Abstract: | We establish a refined version of the Second Law of Thermodynamics for Langevin stochastic processes describing mesoscopic systems driven by conservative or non-conservative forces and interacting with thermal noise. The refinement is based on the Monge-Kantorovich optimal mass transport and becomes relevant for processes far from quasi-stationary regime. General discussion is illustrated by numerical analysis of the optimal memory erasure protocol for a model for micron-size particle manipulated by optical tweezers. |
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