title: Nonequilibrium solutions of the Boltzmann equation under the action of an external force.
abstract: 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, nonequilibrium dampingless 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.
authors.affiliation: Laboratoire de Collisions Agrégats Réactivité, CNRS UMR 5589, IRSAMC, Université de Toulouse (UPS), 118 Route de Narbonne, 31062 Toulouse CEDEX 4, France.
authors.forename: D
authors.initials: D
authors.lastname: Guéry-Odelin
authors.affiliation: Departamento de Química Física, Universidad del País Vasco, Apartado 644, 48080 Bilbao, Spain and Department of Physics, Shanghai University, 200444 Shanghai, People's Republic of China.
authors.forename: J G
authors.initials: JG
authors.lastname: Muga
authors.affiliation: Fısica Téorica, Universidad de Sevilla, Apartado de Correos 1065, E-41080, Sevilla, Spain.
authors.forename: M J
authors.initials: MJ
authors.lastname: Ruiz-Montero
authors.affiliation: Laboratoire de Physique Théorique et Modèles Statistiques, CNRS UMR 8626, Bâtiment 100, Université Paris-Sud, 91405 Orsay Cedex, France.
authors.forename: E
authors.initials: E
authors.lastname: Trizac