Refined Second Law of Thermodynamics for Fast Random Processes

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...

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Bibliographic Details
Published inJournal of statistical physics Vol. 147; no. 3; pp. 487 - 505
Main Authors Aurell, Erik, Gawȩdzki, Krzysztof, Mejía-Monasterio, Carlos, Mohayaee, Roya, Muratore-Ginanneschi, Paolo
Format Journal Article
LanguageEnglish
Published Boston Springer US 01.05.2012
Springer
Subjects
Analysis
Landauer principle
Mathematical and Computational Physics
Monge-Kantorovich optimal mass transport
Physical Chemistry
Physics
Physics and Astronomy
Quantum Physics
Second Law of Thermodynamics
Statistical Physics and Dynamical Systems
Theoretical
Thermodynamics
Monge-Kantorovich optimal mass transport
Landauer principle
Second Law of Thermodynamics
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ISSN0022-4715
1572-9613
1572-9613
DOI10.1007/s10955-012-0478-x

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Summary: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.
ISSN:0022-4715
1572-9613
1572-9613
DOI:10.1007/s10955-012-0478-x