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26 April 2024
 
  » arxiv » cond-mat/9705134

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Two-Fluid Hydrodynamics for a Trapped Weakly-Interacting Bose Gas
E. Zaremba ; A. Griffin ; T. Nikuni ;
Date 14 May 1997
Subject cond-mat
AffiliationQueen’s U., Canada), A. Griffin and T. Nikuni (U. of Toronto
AbstractWe derive the coupled equations of motion for the condensate (superfluid) and non-condensate (normal fluid) degrees of freedom in a trapped Bose gas at finite temperatures. Our results are based on the Hartree-Fock-Popov approximation for the time-dependent condensate wavefunction and an assumption of local equilibrium for the non-condensate atoms. In the case of a uniform weakly-interacting gas, our formalism gives a microscopic derivation of the well-known two-fluid equations of Landau. The collective modes in a parabolically trapped Bose gas include the analogue of the out-of-phase second sound mode in uniform systems.
Source arXiv, cond-mat/9705134
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