<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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).</p></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).

Role of thermodynamics in extensions of mesoscopic dynamical theories

École Polytechnique de Montréal, Montréal, Québec, Canada

Communications in Applied and Industrial Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Role of thermodynamics in extensions of mesoscopic dynamical theories"}

Complex macroscopic systems (like for instance those encountered in nanotechnology and biology) need to be investigated in a family of mesoscopic theories...

Role of thermodynamics in extensions of mesoscopic dynamical theories

Published Online: May 20, 2016

Page range: 56 - 80

Received: Dec 12, 2014

Accepted: May 07, 2015

DOI: https://doi.org/10.1515/caim-2016-0006

Keywords
Contact geometry, non-equilibrium thermodynamics, Hamiltonian evolution, dissipation potential, non-local effects

© 2016 Miroslav Grmela, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Role of thermodynamics in extensions of mesoscopic dynamical theories

Published Online: May 20, 2016

Page range: 56 - 80

Received: Dec 12, 2014

Accepted: May 07, 2015

DOI: https://doi.org/10.1515/caim-2016-0006

KeywordsContact geometry, non-equilibrium thermodynamics, Hamiltonian evolution, dissipation potential, non-local effects

© 2016 Miroslav Grmela, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Contact geometry, non-equilibrium thermodynamics, Hamiltonian evolution, dissipation potential, non-local effects