The Gibbs ensemble of a vortex filament

F. Flandoli and M. Gubinelli

First issued 5 September 2000 · PDF

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.

Versions

1. Version 2 (arXiv v2) current
   1 November 2000
   arXiv comments: 32 pages, submitted to Prob. Th. and Rel. Fields, minor typo corrections
   PDF · LaTeX source · files and digests · arXiv:math-ph/0009005
2. Version 1 (arXiv v1)
   5 September 2000
   arXiv comments: 32 pages, submitted to Prob. Th. and Rel. Fields
   PDF · LaTeX source · files and digests · arXiv:math-ph/0009005

Cite

F. Flandoli and M. Gubinelli. The Gibbs ensemble of a vortex filament. Papers of Massimiliano Gubinelli, 2000, version 2. https://mgubi.org/papers/paper/vortex-filament-gibbs-ensemble/

Licence: arXiv.org non-exclusive license to distribute, assumed for submissions of 1991-2003; all other rights reserved to the authors

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