Chaotic Quantum Vortexes In A Weakly Non Ideal Bose Gas. Thermodynamic Equilibrium And Turbulence

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dc.creatorNemirovskii, Sergey K.
dc.creatorTsubota, Makoto
dc.date2003-11-14
dc.date.accessioned2026-07-07T02:54:46Z
dc.date.available2026-07-07T02:54:46Z
dc.descriptionWe study the stochastic behavior of a set of chaotic vortex loops appeared in imperfect Bose gas. Dynamics of Bose-gas is supposed to obey Gross-Pitaevskii equation with additional noise satisfying fluctuation-dissipation relation. The corresponding Fokker-Planck equation for probability functional has solution ${\cal P}(\{ψ({\bf r})\})={\cal N}\exp (-H\{ψ({\bf r)}\} /T),$ where $H\{ψ({\bf r})\} $ is the Ginzburg-Landau free energy. Considering vortex filaments as topological defects of field $ψ({\bf r})$ we derive a Langevin-type equation of motion of the line with the correspondingly transformed stirring force. The respective Fokker-Planck equation for probability functional ${\cal P}(\{{\bf s}(ξ)\})$ in vortex loop configuration space is shown to have a solution in the form of ${\cal P}(\{{\bf s}(ξ)\})={\cal N}\exp (-H\{{\bf s}\} /T),$ where ${\cal N}$ is the normalizing factor and $H\{{\bf s}\} $ is energy of vortex line configurations. Analyzing this result we discuss possible reasons for destruction of the thermodynamic equilibrium and follow the mechanisms of transition to the turbulent state
dc.description10 pages, RevTeX, submitted to JLTP
dc.identifierhttps://arxiv.org/abs/cond-mat/0311337
dc.identifierhttp://arxiv.org/abs/cond-mat/0311337
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/22692
dc.subjectSoft Condensed Matter
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.subjectChaotic Dynamics
dc.titleChaotic Quantum Vortexes In A Weakly Non Ideal Bose Gas. Thermodynamic Equilibrium And Turbulence
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