Physics – Condensed Matter – Quantum Gases
Scientific paper
2010-03-12
Phys. Rev. A. Vol. 82 No. 3 (2010)
Physics
Condensed Matter
Quantum Gases
24 pages, 7 figures
Scientific paper
10.1103/PhysRevA.82.033619
We compute the thermal conductivity and sound attenuation length of a dilute atomic Fermi gas in the framework of kinetic theory. Above the critical temperature for superfluidity, T_c, the quasi-particles are fermions, whereas below T_c, the dominant excitations are phonons. We calculate the thermal conductivity in both cases. We find that at unitarity the thermal conductivity \kappa in the normal phase scales as \kappa ~ T^{3/2}. In the superfluid phase we find \kappa ~ T^{2}. At high temperature the Prandtl number, the ratio of the momentum and thermal diffusion constants, is 2/3. The ratio increases as the temperature is lowered. As a consequence we expect sound attenuation in the normal phase just above T_c to be dominated by shear viscosity. We comment on the possibility of extracting the shear viscosity of the dilute Fermi gas at unitarity using measurements of the sound absorption length.
Braby Matt
Chao Jingyi
Schaefer Thomas
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