Evolution of a Network of Vortex Loops in He-II: Exact Solution of the Rate Equation
- Institute for Thermophysics, Lavrentyeva, 1, 630090 Novosibirsk (Russian Federation)
The evolution of a network of vortex loops in He-II due to the fusion and breakdown of vortex loops is studied. We perform investigation on the base of the ''rate equation'' for the distribution function n(l) of number of loops of length l. By use of the special ansatz we have found the exact powerlike solution of the rate equation in a stationary case. That solution is the famous equilibrium distribution n(l){proportional_to}l{sup -5/2} obtained earlier from thermodynamic arguments. Our result, however, is not equilibrium; it describes the state with two mutual fluxes of the length (or energy) in l space. Analyzing this solution we drew several results on the structure and dynamics of the vortex tangle in the superfluid turbulent helium. In particular, we obtained that the mean radius of the curvature is of the order of interline space and that the decay of the vortex tangle obeys the Vinen equation. We also evaluated the full rate of reconnection.
- OSTI ID:
- 20775021
- Journal Information:
- Physical Review Letters, Vol. 96, Issue 1; Other Information: DOI: 10.1103/PhysRevLett.96.015301; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
- Country of Publication:
- United States
- Language:
- English
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