title: Inequalities generalizing the second law of thermodynamics for transitions between nonstationary states.
abstract: We discuss the consequences of a variant of the Hatano-Sasa relation in which a nonstationary distribution is used in place of the usual stationary one. We first show that this nonstationary distribution is related to a difference of traffic between the direct and dual dynamics. With this formalism, we extend the definition of the adiabatic and nonadiabatic entropies introduced by M. Esposito and C. Van den Broeck in Phys. Rev. Lett. 104, 090601 (2010) for the stationary case. We also obtain interesting second-law-like inequalities for transitions between nonstationary states.
authors.affiliation: Laboratoire de Physico-Chimie Théorique-UMR CNRS Gulliver 7083, ESPCI, 10 rue Vauquelin, F-75231 Paris, France.
authors.forename: Gatien
authors.initials: G
authors.lastname: Verley
authors.forename: Raphaël
authors.initials: R
authors.lastname: Chétrite
authors.forename: David
authors.initials: D
authors.lastname: Lacoste