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Entropy 2015, 17(10), 7201-7212; doi:10.3390/e17107201

Mesoscopic Thermodynamics for the Dynamics of Small-Scale Systems

Departament de Física Fonamental, Facultat de Física, Universitat de Barcelona, Martí i Franquès, 1, 08028 Barcelona, Spain
Academic Editors: A. Perez-Madrid and Iván Santamaría-Holek
Received: 7 September 2015 / Revised: 13 October 2015 / Accepted: 19 October 2015 / Published: 22 October 2015
(This article belongs to the Special Issue Nanothermodynamics)
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Abstract

We analyze the mesoscopic dynamics of small-scale systems from the perspective of mesoscopic non-equilibrium thermodynamics. The theory obtains the Fokker–Planck equation as a diffusion equation for the probability density of the mesoscopic variables and the nonlinear relationships between activation rates and affinities proper of activated processes. The situations that can be studied with this formalism include, among others, barrier crossing dynamics and non-linear transport in a great variety of systems. We, in particular, consider the cases of single-molecule stretching and activated processes in small systems. View Full-Text
Keywords: systems far from equilibrium; mesoscopic non-equilibrium thermodynamics; single molecule; activated process systems far from equilibrium; mesoscopic non-equilibrium thermodynamics; single molecule; activated process
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Rubi, J.M. Mesoscopic Thermodynamics for the Dynamics of Small-Scale Systems. Entropy 2015, 17, 7201-7212.

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