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The European Physical Journal B
ISSN: 1434-6028 (printed version)
ISSN: 1434-6036 (electronic version)
Abstract Volume 1 Issue 2 (1998) pp 245-253
Nonlinear Schrödinger equation and superfluid hydrodynamics
C. Coste (a)
Laboratoire de Physique, ENS-Lyon (URA CNRS 1325), 46 allée d'Italie, 69364 Lyon Cedex 07, France
Received: 19 August 1997 / Revised: 16 October 1997 / Accepted: 6 November 1997
Abstract: We show that it is possible to generalize the Gross-Pitaevskii equation describing superfluidity in order to recover the two-fluid model, in the hydrodynamic limit, when the deviations from the equilibrium state are of long wavelength. When short distances are relevant, it is possible to keep trace of the purely quantum, non-hydrodynamic term of the Gross-Pitaevskii equation, so that the Hills-Roberts model, which describes the healing phenomenon, is finally obtained.
PACS. 67.40.BzPhenomenology and two-fluid models
(a) e-mail: costa@physique.ens-lyon.fr
Online publication: February 17, 1998
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