Zero and First Sound in Normal Fermi Systems
arXiv:0910.3283 · doi:10.1007/s10909-009-0043-4
Abstract
On the basis of a moment method, general solutions of a linearized Boltzmann equation for a normal Fermi system are investigated. In particular, we study the sound velocities and damping rates as functions of the temperature and the coupling constant. In the extreme limits of collisionless and hydrodynamic regimes, eigenfrequency of sound mode obtained from the moment equations reproduces the well-known results of zero sound and first sound. In addition, the moment method can describe crossover between those extreme limits at finite temperatures. Solutions of the moment equations also involve a thermal diffusion mode. From solutions of these equations, we discuss excitation spectra corresponding to the particle-hole continuum as well as collective excitations. We also discuss a collective mode in a weak coupling case.
38 pages, 5 figures
References in corpus (6)
- Collective excitations of a degenerate gas at the BEC-BCS crossover
- Finite-Temperature Collective Dynamics of a Fermi Gas in the BEC-BCS Crossover
- Frequency and damping of the Scissors Mode of a Fermi gas
- Variational theory of two-fluid hydrodynamic modes at unitarity
- Spin dynamics of a trapped spin-1 Bose Gas above the Bose-Einstein transition temperature
- Transition to hydrodynamics in colliding fermion clouds
Cited by in corpus (11)
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- Dipole oscillation of a trapped Bose--Fermi-mixture gas in collisionless and hydrodynamic regimes
- Collective excitations in Bose-Fermi mixtures
- Density and spin modes in imbalanced normal Fermi gases from collisionless to hydrodynamic regime
- Emergence of Sound in a Tunable Fermi Fluid
- Collective excitations of a Bose-condensed gas: Fate of second sound in the crossover regime between hydrodynamic and collisionless regimes
- Dispersion of first sound in a weakly interacting ultracold Fermi liquid
- Exact perturbative expansion of the transport coefficients of a normal low-temperature Fermi gas with contact interactions
- Dipole Mode of Trapped Bose--Fermi Mixture Gas