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Role of thermodynamics in extensions of mesoscopic dynamical theories

Miroslav Grmela

Article (2016)

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Cite this document: Grmela, M. (2016). Role of thermodynamics in extensions of mesoscopic dynamical theories. Communications in Applied and Industrial Mathematics, 7(2), p. 56-80. doi:10.1515/caim-2016-0006
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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).

Uncontrolled Keywords

contact geometry; non-equilibrium thermodynamics; hamiltonian evolution; dissipation potential; non-local effects; entropy principle; formulation; systems; motion

Open Access document in PolyPublie
Subjects: 1800 Génie chimique > 1800 Génie chimique
1800 Génie chimique > 1803 Thermodynamique
1800 Génie chimique > 1805 Procédés de transfert
Department: Département de génie chimique
Research Center: Non applicable
Funders: CRSNG/NSERC
Date Deposited: 16 May 2022 17:28
Last Modified: 17 May 2022 01:20
PolyPublie URL: https://publications.polymtl.ca/4905/
Document issued by the official publisher
Journal Title: Communications in Applied and Industrial Mathematics (vol. 7, no. 2)
Publisher: De Gruyter Open
Official URL: https://doi.org/10.1515/caim-2016-0006

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