Next Article in Journal
How Do Life, Economy and Other Complex Systems Escape the Heat Death?
Next Article in Special Issue
Entropy Principle and Recent Results in Non-Equilibrium Theories
Previous Article in Journal
The Superiority of Tsallis Entropy over Traditional Cost Functions for Brain MRI and SPECT Registration
Previous Article in Special Issue
Recent Progress in the Definition of Thermodynamic Entropy
Article Menu

Export Article

Open AccessArticle
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)
View Full-Text   |   Download PDF [355 KB, uploaded 24 February 2015]   |  


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. View Full-Text
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).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

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

Show more citation formats Show less citations formats

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top