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 timedependent confinement. We exploit them, in a reverseengineering 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.
 Publication:

Physical Review Letters
 Pub Date:
 May 2014
 DOI:
 10.1103/PhysRevLett.112.180602
 arXiv:
 arXiv:1404.0502
 Bibcode:
 2014PhRvL.112r0602G
 Keywords:

 05.20.Dd;
 37.10.x;
 51.10.+y;
 Kinetic theory;
 Atom molecule and ion cooling methods;
 Kinetic and transport theory of gases;
 Condensed Matter  Statistical Mechanics;
 Condensed Matter  Quantum Gases
 EPrint:
 5 pages, 1 figure