The Gibbs ensemble of a vortex filament
Mathematical Physics
2007-05-23 v2 math.MP
Probability
Abstract
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.
Cite
@article{arxiv.math-ph/0009005,
title = {The Gibbs ensemble of a vortex filament},
author = {F. Flandoli and M. Gubinelli},
journal= {arXiv preprint arXiv:math-ph/0009005},
year = {2007}
}
Comments
32 pages, submitted to Prob. Th. and Rel. Fields, minor typo corrections