1D nonlinear Fokker-Planck equations for fermions and bosons

J. A. Carrillo, J. Rosado, F. Salvarani

Research output: Contribution to journalArticleResearchpeer-review

21 Citations (Scopus)

Abstract

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.
Original languageEnglish
Pages (from-to)148-154
JournalApplied Mathematics Letters
Volume21
Issue number2
DOIs
Publication statusPublished - 1 Feb 2008

Keywords

  • Entropy methods
  • Nonlinear diffusions
  • Nonlinear Fokker-Planck equations

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