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Phys. Rev. B 77, 144508 (2008) [6 pages]

Hydrodynamic boundary condition for superfluid flow

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Yves Pomeau1,2,3 and David C. Roberts3
1Laboratoire de Physique statistique de l’Ecole normale supérieure, 75005 Paris, France
2Department of Mathematics, University of Arizona, Tucson, AZ 85721, USA
3Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, NM 87545, USA

Received 7 December 2007; revised 26 February 2008; published 4 April 2008

We discuss the hydrodynamic boundary condition for a superfluid moving tangentially to a rough surface. Specifically, we argue that the scattering of quantum fluctuations off surface roughness affects the nature of the boundary condition, and that this has important consequences including a theorized critical speed and the presence of normal fluid at any nonzero speed, even if the boundary is held at zero temperature (i.e., a moving superfluid flow creates a sustained temperature difference between the superfluid and the boundary). This hydrodynamic boundary condition is relevant not only for superfluid helium experiments but also for experiments with trapped dilute Bose–Einstein condensates, in particular, those involving atomic waveguides near surfaces.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.77.144508
DOI:
10.1103/PhysRevB.77.144508
PACS:
67.30.hb, 47.37.+q, 03.75.Kk, 67.25.D−