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- W3137220863 abstract "We study stochastic behavior of a single vortex loop appeared in imperfect Bose gas. Dynamics of Bose-condensate is supposed to obey Gross-Pitaevskii equation with additional noise satisfying fluctuation-dissipation relation. The corresponding Fokker-Planck equation for probability functional has a solution $mathcal{P}({{psi}(mathbf{r})})=mathcal{N}exp (-H{psi}(mathbf{r)} /T),$ where $Hpsi(mathbf{r})$ is a Ginzburg-Landau free energy. Considering a vortex filaments as a topological defects of the field ${psi}(mathbf{r})$ we derive a Langevin-type equation of motion of the line with correspondingly transformed stirring force. The respective Fokker-Planck equation for probability functional $mathcal{P}({mathbf{s}(xi)})$ in vortex loop configuration space is shown to have a solution of the form $mathcal{P}({mathbf{s}(xi)})=mathcal{N}exp (-H{mathbf{s}} /T),$ where $mathcal{N}$ is a normalizing factor and $H{mathbf{s}}$ is energy of vortex line configurations. In other words a thermal equilibrium of Bose-condensate results in a thermal equilibrium of vortex loops appeared in Bose-condensate. Some consequences of that fact and possible violations are discussed." @default.
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- W3137220863 date "2000-11-10" @default.
- W3137220863 modified "2023-09-23" @default.
- W3137220863 title "Stochastic Dynamics of a Vortex Loop. Thermal Equilibrium" @default.
- W3137220863 cites W3046116476 @default.
- W3137220863 doi "https://doi.org/10.48550/arxiv.cond-mat/0011175" @default.
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