Boltzmann Limit for a Homogeneous Fermi Gas with Dynamical Hartree-Fock Interactions in a Random Medium

Thomas Chen, Igor Rodnianski

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We study the dynamics of the thermal momentum distribution function for an interacting, homogeneous Fermi gas on Z3 in the presence of an external weak static random potential, where the pair interactions between the fermions are modeled in dynamical Hartree-Fock theory. We determine the Boltzmann limits associated to different scaling regimes defined by the size of the random potential, and the strength of the fermion interactions.

Original languageEnglish (US)
Pages (from-to)1000-1051
Number of pages52
JournalJournal of Statistical Physics
Volume142
Issue number5
DOIs
StatePublished - Mar 2011

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Keywords

  • Boltzmann limit
  • Dynamical Hatree-Fock theory
  • Fermion gas

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