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

Wu, Lei and Zhang, Yonghao (2012) Applicability of the Boltzmann equation for a two-dimensional Fermi gas. Physical Review A, 85 (4). ISSN 1094-1622

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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.