The Gibbs ensemble of a vortex filament
Abstract
Description
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.
32 pages, submitted to Prob. Th. and Rel. Fields, minor typo corrections
32 pages, submitted to Prob. Th. and Rel. Fields, minor typo corrections