Exact non-equilibrium solutions of the Boltzmann equation under a   time-dependent external force
  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. 
D. Gu\'ery-Odelin, J. G. Muga, M.J. Ruiz-Montero, E. Trizac
cond-mat.stat-mech cond-mat.quant-gas