title: Time reversal in nonequilibrium thermodynamics.
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.
authors.affiliation: New Technologies Research Centre, University of West Bohemia, Univerzitní 8, 306 14 Pilsen, Czech Republic.
authors.forename: Michal
authors.initials: M
authors.lastname: Pavelka
authors.affiliation: 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.
authors.forename: Václav
authors.initials: V
authors.lastname: Klika
authors.affiliation: École Polytechnique de Montréal, C.P.6079 suc. Centre-ville, Montréal, H3C 3A7 Québec, Canada.
authors.forename: Miroslav
authors.initials: M
authors.lastname: Grmela