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

We study hydrodynamic oscillations of a cylindrical Bose gas above the BoseEinstein transition temperature using the hydrodynamic equations derived by Griffin, Wu and Stringari. This extends recent studies of a cylindrical Bosecondensed gas at T = 0. Explicit normal mode solutions are obtained for nonpropagating 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. PACS numbers: 03.75.Fi, 05.30.Jp, 67.40.Db Typeset using REVTEX 1