Viscosity spectral functions of the dilute Fermi gas in kinetic theory

Abstract

We compute the viscosity spectral function of the dilute Fermi gas for different values of the s-wave scattering length $a$, including the unitarity limit $a\to \infty$. We perform the calculation in kinetic theory by studying the response to a non-trivial background metric. We find the expected structure consisting of a diffusive peak in the transverse shear channel and a sound peak in the longitudinal channel. At zero momentum the width of the diffusive peak is ${\omega }_0\simeq (2\epsilon )/(3\eta )$ where $\epsilon$ is the energy density and $\eta$ is the shear viscosity. At finite momentum the spectral function approaches the collisionless limit and the width is of order ${\omega }_0\sim k(T/m{)}^{1/2}$.

15 pages, 6 figures

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Cited by in corpus (15)

• Fluid Dynamics and Viscosity in Strongly Correlated Fluids
• Hydrodynamic fluctuations and the minimum shear viscosity of the dilute Fermi gas at unitarity
• Quantum critical transport in the unitary Fermi gas
• Shear Viscosity of a Unitary Fermi Gas
• Hydrodynamic tails and a fluctuation bound on the bulk viscosity
• Shear viscosity and damping of collective modes in a two-dimensional Fermi gas
• Shear viscosity and spin diffusion in a two-dimensional Fermi gas
• Viscosity Sum Rules at Large Scattering Lengths
• Perfect-fluid behavior of a dilute Fermi gas near unitary
• Conformal symmetry and non-relativistic second order fluid dynamics
• Mesoscopic dynamics of fermionic cold atoms ---Quantitative analysis of transport coefficients and relaxation times---
• Second order fluid dynamics for the unitary Fermi gas from kinetic theory
• Elliptic flow of the dilute Fermi gas: From kinetics to hydrodynamics
• Universal Density Shift Coefficients for the Thermal Conductivity and Shear Viscosity of a Unitary Fermi Gas
• Viscosity spectral function of a scale invariant non-relativistic fluid from holography