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Article Dans Une Revue Physical Review Letters Année : 2014

Exact non-equilibrium solutions of the Boltzmann equation under a time-dependent external force

Résumé

We construct a novel class of exact solutions to the Boltzmann equation, in both its classical and quantum formulation, for arbitrary collision laws. When the system is subjected to a specific external forcing, the precise form of which is worked out, non equilibrium damping-less solutions are admissible. They do not contradict the $H$-theorem, but are constructed from its requirements. Interestingly, these solutions hold for time-dependent confinement. We exploit them, in a reverse-engineering perspective, to work out a protocol that shortcuts any adiabatic transformation between two equilibrium states in an arbitrarily short time-span, for an interacting system. Particle simulations of the direct Monte Carlo type fully corroborate the analytical predictions.

Dates et versions

hal-00996946 , version 1 (27-05-2014)

Identifiants

Citer

David Guéry-Odelin, J. G. Muga, M. J. Ruiz-Montero, E. Trizac. Exact non-equilibrium solutions of the Boltzmann equation under a time-dependent external force. Physical Review Letters, 2014, 112, pp.180602. ⟨hal-00996946⟩
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