On a variational principle in thermodynamics

Authors

Jochen Merker, Matthias Krüger

Abstract

The dynamic principle is proposed that a thermodynamic system evolves in time so that the total energy balance including the energy drawn from the environment becomes stationary for all admissible variations of thermodynamic states. It is shown that this principle allows to obtain variational characterizations of contact Hamiltonian equations (even in presence of ports), reaction equations and doubly nonlinear reaction–diffusion equations. Further, examples are discussed which support this principle.

Keywords

contact hamiltonian equations, reaction–diffusion equations, variational principle

Citation

• Journal: Continuum Mechanics and Thermodynamics
• Year: 2013
• Volume: 25
• Issue: 6
• Pages: 779–793
• Publisher: Springer Science and Business Media LLC
• DOI: 10.1007/s00161-012-0277-2

BibTeX

@article{Merker_2012,
  title={{On a variational principle in thermodynamics}},
  volume={25},
  ISSN={1432-0959},
  DOI={10.1007/s00161-012-0277-2},
  number={6},
  journal={Continuum Mechanics and Thermodynamics},
  publisher={Springer Science and Business Media LLC},
  author={Merker, Jochen and Krüger, Matthias},
  year={2012},
  pages={779--793}
}

Download the bib file

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