Article (2016)
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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 uni-
versal 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
| Subjects: |
1800 Chemical engineering > 1800 Chemical engineering 1800 Chemical engineering > 1803 Thermodynamics |
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| Department: | Department of Chemical Engineering |
| Funders: | CRSNG / NSERC |
| PolyPublie URL: | https://publications.polymtl.ca/3606/ |
| Journal Title: | Communications in Applied and Industrial Mathematics (vol. 7, no. 2) |
| Publisher: | De Gruyter |
| DOI: | 10.1515/caim-2016-0006 |
| Official URL: | https://doi.org/10.1515/caim-2016-0006 |
| Date Deposited: | 27 Mar 2020 08:36 |
| Last Modified: | 23 May 2023 12:48 |
| Cite in APA 7: | Grmela, M. (2016). Role of thermodynamics in extensions of mesoscopic dynamical theories. Communications in Applied and Industrial Mathematics, 7(2), 56-80. https://doi.org/10.1515/caim-2016-0006 |
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