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Title: Dynamic structure factor of the normal Fermi gas from the collisionless to the hydrodynamic regime

Abstract

The dynamic structure factor of a normal Fermi gas is investigated by using the moment method for the Boltzmann equation. We determine the spectral function at finite temperatures over the full range of crossover from the collisionless regime to the hydrodynamic regime. We find that the Brillouin peak in the dynamic structure factor exhibits a smooth crossover from zero to first sound as functions of temperature and interaction strength. The dynamic structure factor obtained using the moment method also exhibits a definite Rayleigh peak ({omega}{approx}0), which is a characteristic of the hydrodynamic regime. We compare the dynamic structure factor obtained by the moment method with that obtained from the hydrodynamic equations.

Authors:
 [1];  [2]
  1. Institute of Physics, Department of Physics, University of Tokyo, Komaba 3-8-1 Meguro-ku, Tokyo 153-8902 (Japan)
  2. Department of Physics, Tokyo of Science, 1-3 Kagurazaka, Shinjuku-ku, Tokyo 162-8601 (Japan)
Publication Date:
OSTI Identifier:
21450619
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 82; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevA.82.033622; (c) 2010 The American Physical Society; Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; BOLTZMANN EQUATION; COMPARATIVE EVALUATIONS; FERMI GAS; HYDRODYNAMICS; MOMENTS METHOD; SOUND WAVES; SPECTRAL FUNCTIONS; STRUCTURE FACTORS; TEMPERATURE DEPENDENCE; CALCULATION METHODS; DIFFERENTIAL EQUATIONS; DIMENSIONLESS NUMBERS; EQUATIONS; EVALUATION; FLUID MECHANICS; FUNCTIONS; INTEGRO-DIFFERENTIAL EQUATIONS; KINETIC EQUATIONS; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS

Citation Formats

Watabe, Shohei, and Nikuni, Tetsuro. Dynamic structure factor of the normal Fermi gas from the collisionless to the hydrodynamic regime. United States: N. p., 2010. Web. doi:10.1103/PHYSREVA.82.033622.
Watabe, Shohei, & Nikuni, Tetsuro. Dynamic structure factor of the normal Fermi gas from the collisionless to the hydrodynamic regime. United States. https://doi.org/10.1103/PHYSREVA.82.033622
Watabe, Shohei, and Nikuni, Tetsuro. 2010. "Dynamic structure factor of the normal Fermi gas from the collisionless to the hydrodynamic regime". United States. https://doi.org/10.1103/PHYSREVA.82.033622.
@article{osti_21450619,
title = {Dynamic structure factor of the normal Fermi gas from the collisionless to the hydrodynamic regime},
author = {Watabe, Shohei and Nikuni, Tetsuro},
abstractNote = {The dynamic structure factor of a normal Fermi gas is investigated by using the moment method for the Boltzmann equation. We determine the spectral function at finite temperatures over the full range of crossover from the collisionless regime to the hydrodynamic regime. We find that the Brillouin peak in the dynamic structure factor exhibits a smooth crossover from zero to first sound as functions of temperature and interaction strength. The dynamic structure factor obtained using the moment method also exhibits a definite Rayleigh peak ({omega}{approx}0), which is a characteristic of the hydrodynamic regime. We compare the dynamic structure factor obtained by the moment method with that obtained from the hydrodynamic equations.},
doi = {10.1103/PHYSREVA.82.033622},
url = {https://www.osti.gov/biblio/21450619}, journal = {Physical Review. A},
issn = {1050-2947},
number = 3,
volume = 82,
place = {United States},
year = {Wed Sep 15 00:00:00 EDT 2010},
month = {Wed Sep 15 00:00:00 EDT 2010}
}