Hydrodynamic modes and pulse propagation in a cylindrical Bose gas above the Bose-Einstein transition

Details Hydrodynamic modes and pulse propagation in a cylindrical Bose gas above the Bose-Einstein transition Hydrodynamic modes and pulse propagation in a cylindrical Bose gas above the Bose-Einstein transition

1998-06-09

arxiv.org/abs/cond-mat/9806112v1

Physics

Condensed Matter

16 pages, revtex, 2 postscript figures, submitted to Physical Review A

Scientific paper

10.1103/PhysRevA.58.4044

We study hydrodynamic oscillations of a cylindrical Bose gas above the Bose-Einstein transition temperature using the hydrodynamic equations derived by Griffin, Wu and Stringari. This extends recent studies of a cylindrical Bose-condensed gas at T=0. Explicit normal mode solutions are obtained for non-propagating solutions. In the classical limit, the sound velocity is shown to be the same as a uniform classical gas. We use a variational formulation of the hydrodynamic equations to discuss the propagating modes in the degenerate Bose-gas limit and show there is little difference from the classical results.

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