par Gaspard, Pierre
Référence Acta Physica Polonica B, 44, 5, page (815-845)
Publication Publié, 2013
Article révisé par les pairs
Résumé : Fluctuation relations for currents are established in several classes of systems. For the effusion of noninteracting particles through a small hole in a thin wall, a fluctuation relation for the particle current is directly proved from the Hamiltonian microdynamics by constructing the exact invariant probability measure, which is shown to break time-reversal symmetry under nonequilibrium conditions. Current fluctuation relations are also obtained for the stochastic processes ruled by the Smoluchowski and Fokker-Planck master equations by modifying the master operator with the current counting parameters. Finally, the same method is applied to the coarse-grained master equation of the fluctuating Boltzmann equation to establish the fluctuation relation for the currents in dilute or rarefied gases.