Thermal vortex dynamics in a two-dimensional condensate

Details Thermal vortex dynamics in a two-dimensional condensate Thermal vortex dynamics in a two-dimensional condensate

1999-07-30

arxiv.org/abs/cond-mat/9907501v2

Physics

Condensed Matter

Superconductivity

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

Scientific paper

10.1103/PhysRevB.62.1238

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 $\psi(\r,t)$ obeying a nonlinear stochastic Schr\"odinger 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.

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