Critical Velocity of Superfluid Flow past Large Obstacles in Bose-Condensates
arXiv:cond-mat/0006419 · doi:10.1103/PhysRevA.62.061601
Abstract
By considering the stability of potential flow of a superfluid around large obstacles of size R, we derive an analytical result for the critical velocity which is of order v_c \sim \hbar / mR, scaling inversely with obstacle size, in contrast to what is obtained from a Landau criterion. Our results are compared with numerical solutions of the Gross-Pitaevskii equation and with recent measurements of the critical velocity in Bose-Einstein condensates of dilute atomic gases.
4 pages, 2 figures, RevTeX, submitted to Phys. Rev. A
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