Thermal vortex dynamics in a two-dimensional condensate

Abstract

We carry out an analytical and numerical study of the motion of an isolated vortex in thermal equilibrium, the vortex being defined as the point singularity of a complex scalar field $\psi (\mathring{,}t)$ obeying a nonlinear stochastic Schrödinger equation. Because hydrodynamic fluctuations are included in this description, the dynamical picture of the vortex emerges as that of both a massive particle in contact with a heat bath, and as a passive scalar advected to a background random flow. We show that the vortex does not execute a simple random walk and that the probability distribution of vortex flights has non-Gaussian (exponential) tails.

RevTex, 9 pages, 3 figures, To appear in Phys. Rev. B

References in corpus (3)

• The Flux-Line Lattice in Superconductors
• Initial Stages of Bose-Einstein Condensation
• Dynamical Vortices in Superfluid Films

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• Friction force on a vortex due to the scattering of superfluid excitations in helium II
• Finite-temperature dynamics of matter-wave dark solitons in linear and periodic potentials: an example of an anti-damped Josephson junction
• Singularity dynamics: Action and Reaction