We obtain equilibration rates for nonlinear Fokker-Planck equations modelling the relaxation of fermion and boson gases. We show how the entropy method applies for quantifying explicitly the exponential decay towards Fermi-Dirac and Bose-Einstein distributions in the one-dimensional case. © 2007 Elsevier Ltd. All rights reserved.
- Entropy methods
- Nonlinear diffusions
- Nonlinear Fokker-Planck equations