Role of thermodynamics in extensions of mesoscopic dynamical theories

Miroslav Grmela

doi:10.1515/caim-2016-0006

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Role of thermodynamics in extensions of mesoscopic dynamical theories

Communications in Applied and Industrial Mathematics

Volume 7 (2016): Issue 2 (June 2016)

By: Miroslav Grmela

Open Access

|May 2016

Abstract

Complex macroscopic systems (like for instance those encountered in nanotechnology and biology) need to be investigated in a family of mesoscopic theories involving varying amount of details. In this paper we formulate a general thermodynamics providing a universal framework for such multiscale viewpoint of mesoscopic dynamics. We then discuss its role in making extensions (i.e. in lifting a mesoscopic theory to a more microscopic level that involves more details).

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Articles in this issue

DOI: https://doi.org/10.1515/caim-2016-0006 | Journal eISSN: 2038-0909

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Language: English

Page range: 56 - 80

Submitted on: Dec 12, 2014

Accepted on: May 7, 2015

Published on: May 20, 2016

Published by: Italian Society for Applied and Industrial Mathemathics

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

Contact geometry,

non-equilibrium thermodynamics,

Hamiltonian evolution,

dissipation potential,

non-local effects

Related subjects:

Mathematics,

Numerical and computational mathematics,

Applied mathematics

© 2016 Miroslav Grmela, published by Italian Society for Applied and Industrial Mathemathics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 7 (2016): Issue 2 (June 2016)