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

Journal Article · Wed Sep 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.033622· OSTI ID:21450619

Watabe, Shohei ^[1]; Nikuni, Tetsuro ^[2]

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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)

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.

• OSTI ID: 21450619
• Journal Information: Physical Review. A, Vol. 82, Issue 3; Other Information: DOI: 10.1103/PhysRevA.82.033622; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

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