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Pavelka M, Klika V, Grmela M. Time reversal in nonequilibrium thermodynamics. Phys Rev E Stat Nonlin Soft Matter Phys. 2014;90(6):062131doi: 10.1103/PhysRevE.90.062131.
Pavelka, M., Klika, V., & Grmela, M. (2014). Time reversal in nonequilibrium thermodynamics. Physical review. E, Statistical, nonlinear, and soft matter physics, 90(6), 062131. https://doi.org/10.1103/PhysRevE.90.062131
Pavelka, Michal, et al. "Time reversal in nonequilibrium thermodynamics." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 90,6 (2014): 062131. doi: https://doi.org/10.1103/PhysRevE.90.062131
Pavelka M, Klika V, Grmela M. Time reversal in nonequilibrium thermodynamics. Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Dec;90(6):062131. doi: 10.1103/PhysRevE.90.062131. Epub 2014 Dec 19. PMID: 25615068.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Dec;90(6):062131. doi: 10.1103/PhysRevE.90.062131. Epub 2014 Dec 19.

Time reversal in nonequilibrium thermodynamics.

Physical review. E, Statistical, nonlinear, and soft matter physics

Michal Pavelka, Václav Klika, Miroslav Grmela

Affiliations

  1. New Technologies Research Centre, University of West Bohemia, Univerzitní 8, 306 14 Pilsen, Czech Republic.
  2. New Technologies Research Centre, University of West Bohemia, Univerzitní 8, 306 14 Pilsen, Czech Republic and Department of Mathematics, FNSPE, Czech Technical University in Prague, Trojanova 13, 120 00 Praha, Czech Republic.
  3. École Polytechnique de Montréal, C.P.6079 suc. Centre-ville, Montréal, H3C 3A7 Québec, Canada.

PMID: 25615068 DOI: 10.1103/PhysRevE.90.062131

Abstract

The general equation of nonequilibrium reversible-irreversible coupling (GENERIC) is studied in light of time-reversal transformation. It is shown that Onsager-Casimir reciprocal relations are implied by GENERIC in the near-equilibrium regime. A general structure which gives the reciprocal relations but which is valid also far from equilibrium is identified, and Onsager-Casimir reciprocal relations are generalized to far-from-equilibrium regime in this sense. Moreover, reversibility and irreversibility are carefully discussed and the results are illustrated in Hamiltonian dynamics, classical hydrodynamics, classical irreversible thermodynamics, the quantum master equation, and the Boltzmann equation.

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