The Gibbs ensemble of a vortex filament

Details The Gibbs ensemble of a vortex filament The Gibbs ensemble of a vortex filament

2000-09-05

arxiv.org/abs/math-ph/0009005v2

Physics

Mathematical Physics

32 pages, submitted to Prob. Th. and Rel. Fields, minor typo corrections

Scientific paper

We introduce a statistical ensemble for a single vortex filament of a three
dimensional incompressible fluid. The core of the vortex is modelled by a quite
generic stochastic process. We prove the existence of the partition function
for both positive and a limited range of negative temperatures.

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