Article
Nonequilibrium Solutions of the Boltzmann Equation under the Action of an External Force
Author/s | Guéry-Odelin, D.
Muga, J. G. Ruiz Montero, María José Trizac, E. |
Department | Universidad de Sevilla. Departamento de Física Atómica, Molecular y Nuclear |
Publication Date | 2014-05-06 |
Deposit Date | 2017-07-13 |
Published in |
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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 ... 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. |
Funding agencies | European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) |
Project ID. | FIS2011-24460 |
Citation | Guéry-Odelin, D., Muga, J.G., Ruiz Montero, M.J. y Trizac, E. (2014). Nonequilibrium Solutions of the Boltzmann Equation under the Action of an External Force. Physical Review Letters, 112 (18), 180602-1-180602-5. |
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