Two-fluid hydrodynamics of a Bose gas including damping from normal fluid transport coefficients

Details Two-fluid hydrodynamics of a Bose gas including damping from normal fluid transport coefficients Two-fluid hydrodynamics of a Bose gas including damping from normal fluid transport coefficients

1999-11-22

arxiv.org/abs/cond-mat/9911336v1

Physics

Condensed Matter

Statistical Mechanics

18 pages, revtex, 4 postscript figures, Submitted to the Canadian Journal of Physics for the Boris Stoicheff Festschrift issue

Scientific paper

10.1139/cjp-78-5-6-415

We extend our recent work on the two-fluid hydrodynamics of the condensate and non-condensate in a trapped Bose gas by including the dissipation associated with viscosity and thermal conduction. For purposes of illustration, we consider the hydrodynamic modes in the case of a uniform Bose gas. A finite thermal conductivity and shear viscosity give rise to a damping of the first and second sound modes in addition to that found previously due to the lack of diffusive equilibrium between the condensate and non-condensate. The relaxational mode associated with this equilibration process is strongly coupled to thermal fluctuations and reduces to the usual thermal diffusion mode above the Bose-Einstein transition. In contrast to the standard Landau two-fluid hydrodynamics, we predict a damped mode centered at zero frequency, in addition to the usual second sound doublet.

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