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Entropy 2014, 16(3), 1652-1686; doi:10.3390/e16031652

Contact Geometry of Mesoscopic Thermodynamics and Dynamics

École Polytechnique de Montréal, C.P.6079 suc. Centre-ville Montréal, QC H3C 3A7, Canada
Received: 15 November 2013 / Revised: 5 March 2014 / Accepted: 7 March 2014 / Published: 21 March 2014
(This article belongs to the Special Issue Advances in Methods and Foundations of Non-Equilibrium Thermodynamics)
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The time evolution during which macroscopic systems reach thermodynamic equilibrium states proceeds as a continuous sequence of contact structure preserving transformations maximizing the entropy. This viewpoint of mesoscopic thermodynamics and dynamics provides a unified setting for the classical equilibrium and nonequilibrium thermodynamics, kinetic theory, and statistical mechanics. One of the illustrations presented in the paper is a new version of extended nonequilibrium thermodynamics with fluxes as extra state variables.
Keywords: nonequilibrium thermodynamics; nonequilibrium statistical mechanics; contact geometry; GENERIC nonequilibrium thermodynamics; nonequilibrium statistical mechanics; contact geometry; GENERIC
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Grmela, M. Contact Geometry of Mesoscopic Thermodynamics and Dynamics. Entropy 2014, 16, 1652-1686.

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