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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
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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) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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

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