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

Thomas Chen; Igor Rodnianski

doi:10.1007/s10955-011-0145-7

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

Thomas Chen, Igor Rodnianski

Mathematics

Research output: Contribution to journal › Article › peer-review

3 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 language	English (US)
Pages (from-to)	1000-1051
Number of pages	52
Journal	Journal of Statistical Physics
Volume	142
Issue number	5
DOIs	https://doi.org/10.1007/s10955-011-0145-7
State	Published - Mar 2011

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

Keywords

Boltzmann limit
Dynamical Hatree-Fock theory
Fermion gas

Access to Document

10.1007/s10955-011-0145-7

Cite this

@article{ad32f21dbd4e4fc1b65d683429503802,

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

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.",

keywords = "Boltzmann limit, Dynamical Hatree-Fock theory, Fermion gas",

author = "Thomas Chen and Igor Rodnianski",

note = "Funding Information: Acknowledgements T.C. thanks I. Sasaki for discussions about related subjects, and J.L. Lebowitz for inspiring comments. The work of T.C. was supported by NSF grant DMS-0704031/DMS-0940145.",

year = "2011",

month = mar,

doi = "10.1007/s10955-011-0145-7",

language = "English (US)",

volume = "142",

pages = "1000--1051",

journal = "Journal of Statistical Physics",

issn = "0022-4715",

publisher = "Springer",

number = "5",

}

TY - JOUR

T1 - Boltzmann Limit for a Homogeneous Fermi Gas with Dynamical Hartree-Fock Interactions in a Random Medium

AU - Chen, Thomas

AU - Rodnianski, Igor

N1 - Funding Information: Acknowledgements T.C. thanks I. Sasaki for discussions about related subjects, and J.L. Lebowitz for inspiring comments. The work of T.C. was supported by NSF grant DMS-0704031/DMS-0940145.

PY - 2011/3

Y1 - 2011/3

N2 - 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.

AB - 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.

KW - Boltzmann limit

KW - Dynamical Hatree-Fock theory

KW - Fermion gas

UR - http://www.scopus.com/inward/record.url?scp=79952489703&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79952489703&partnerID=8YFLogxK

U2 - 10.1007/s10955-011-0145-7

DO - 10.1007/s10955-011-0145-7

M3 - Article

AN - SCOPUS:79952489703

SN - 0022-4715

VL - 142

SP - 1000

EP - 1051

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 5

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this