Applicability of the Boltzmann equation for a two-dimensional Fermi gas

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Abstract

We study the validity range of the semiclassical Boltzmann equation in describing the dynamics of two-dimensional Fermi gas. Here we numerically solve the Boltzmann equation based on the relaxation-time approximation. By comparing the numerically extracted damping of the quadrupole mode with the experimental data reported in Vogt et al. [Phys. Rev. Lett. 108, 070404 (2012)], we demonstrate that the Boltzmann equation is applicable at least when the temperature is larger than 0.47TF , up to the strong coupling regime, where TF is the Fermi temperature.
LanguageEnglish
Article number045601
Number of pages4
JournalPhysical Review A
Volume85
Issue number4
DOIs
StatePublished - 12 Apr 2012

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Boltzmann equation
Gases
gases
Relaxation time
Damping
quadrupoles
relaxation time
damping
Temperature
temperature
approximation

Keywords

  • Boltzmann equation
  • fermi gas

Cite this

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abstract = "We study the validity range of the semiclassical Boltzmann equation in describing the dynamics of two-dimensional Fermi gas. Here we numerically solve the Boltzmann equation based on the relaxation-time approximation. By comparing the numerically extracted damping of the quadrupole mode with the experimental data reported in Vogt et al. [Phys. Rev. Lett. 108, 070404 (2012)], we demonstrate that the Boltzmann equation is applicable at least when the temperature is larger than 0.47TF , up to the strong coupling regime, where TF is the Fermi temperature.",
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Applicability of the Boltzmann equation for a two-dimensional Fermi gas. / Wu, Lei; Zhang, Yonghao.

In: Physical Review A, Vol. 85, No. 4, 045601, 12.04.2012.

Research output: Contribution to journalArticle

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AB - We study the validity range of the semiclassical Boltzmann equation in describing the dynamics of two-dimensional Fermi gas. Here we numerically solve the Boltzmann equation based on the relaxation-time approximation. By comparing the numerically extracted damping of the quadrupole mode with the experimental data reported in Vogt et al. [Phys. Rev. Lett. 108, 070404 (2012)], we demonstrate that the Boltzmann equation is applicable at least when the temperature is larger than 0.47TF , up to the strong coupling regime, where TF is the Fermi temperature.

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