|
This article is cited in 23 scientific papers (total in 23 papers)
Thermodynamic Equilibrium in the System of Chaotic Quantized Vortices in a Weakly Imperfect Bose Gas
S. K. Nemirovskii Institute of Thermophysics, Siberian Branch of the Russian Academy of Science
Abstract:
In the example of a weakly imperfect Bose gas, we discuss the mechanism of establishing thermodynamic equilibrium for a chaotic set of quantum vortex filaments. We assume that the dynamics of the Bose condensate is described by the Gross–Pitaevsky equation with an additional noise satisfying the fluctuation-dissipation theorem. In considering a vortex filament as the intersection line of surfaces on which the real and imaginary parts of the order parameter $\psi(\mathbf x,t)$ vanish, we obtain an equation of the Langevin type for elements of the vortex filament with an appropriately transformed random force. The Fokker–Planck equation for the probability density has a solution given by the Gibbs distribution at the temperature of the Bose condensate. In other words, when the Bose condensate is in thermal equilibrium and no other random actions exist, the system of vortices is also in thermal equilibrium.
Keywords:
quantum vortex filaments, Bose gas, thermodynamic equilibrium, superfluid turbulence.
Received: 11.08.2003
Citation:
S. K. Nemirovskii, “Thermodynamic Equilibrium in the System of Chaotic Quantized Vortices in a Weakly Imperfect Bose Gas”, TMF, 141:1 (2004), 141–151; Theoret. and Math. Phys., 141:1 (2004), 1452–1460
Linking options:
https://www.mathnet.ru/eng/tmf115https://doi.org/10.4213/tmf115 https://www.mathnet.ru/eng/tmf/v141/i1/p141
|
Statistics & downloads: |
Abstract page: | 432 | Full-text PDF : | 215 | References: | 63 | First page: | 2 |
|