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Article

Stochastic Thermodynamics of Brownian Motion

1
Center for Nonlinear Phenomena and Complex Systems (CENOLI), Université Libre de Bruxelles (ULB), Campus Plaine, C.P. 231, B-1050 Brussels, Belgium
2
Nonlinear Physical Chemistry Unit, Université Libre de Bruxelles (ULB), Campus Plaine, C.P. 231, B-1050 Brussels, Belgium
*
Author to whom correspondence should be addressed.
Entropy 2017, 19(9), 434; https://doi.org/10.3390/e19090434
Received: 29 June 2017 / Revised: 2 August 2017 / Accepted: 14 August 2017 / Published: 23 August 2017
(This article belongs to the Special Issue Entropy, Time and Evolution)
A stochastic thermodynamics of Brownian motion is set up in which state functions are expressed in terms of state variables through the same relations as in classical irreversible thermodynamics, with the difference that the state variables are now random fields accounting for the effect of fluctuations. Explicit expressions for the stochastic analog of entropy production and related quantities are derived for a dilute solution of Brownian particles in a fluid of light particles. Their statistical properties are analyzed and, in the light of the insights afforded, the thermodynamics of a single Brownian particle is revisited and the status of the second law of thermodynamics is discussed. View Full-Text
Keywords: stochastic thermodynamics; brownian motion; nonequilibrium thermodynamics; irreversibility stochastic thermodynamics; brownian motion; nonequilibrium thermodynamics; irreversibility
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MDPI and ACS Style

Nicolis, G.; De Decker, Y. Stochastic Thermodynamics of Brownian Motion. Entropy 2017, 19, 434. https://doi.org/10.3390/e19090434

AMA Style

Nicolis G, De Decker Y. Stochastic Thermodynamics of Brownian Motion. Entropy. 2017; 19(9):434. https://doi.org/10.3390/e19090434

Chicago/Turabian Style

Nicolis, Grégoire, and Yannick De Decker. 2017. "Stochastic Thermodynamics of Brownian Motion" Entropy 19, no. 9: 434. https://doi.org/10.3390/e19090434

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