Boltzmann limit for a homogenous Fermi gas with dynamical Hartree-Fock interactions in a random medium

Details Boltzmann limit for a homogenous Fermi gas with dynamical Hartree-Fock interactions in a random medium Boltzmann limit for a homogenous Fermi gas with dynamical Hartree-Fock interactions in a random medium

2009-10-15

arxiv.org/abs/0910.2786v3

J. Stat. Phys., 142 (5), 1000 - 1051, 2011

Physics

Mathematical Physics

54 pages, 1 figure

Scientific paper

We study the dynamics of the thermal momentum distribution function for an interacting, homogenous Fermi gas on $\Z^3$ 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.

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