The Gibbs ensemble of a vortex filament

F. Flandoli; M. Gubinelli

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The Gibbs ensemble of a vortex filament

F. Flandoli·M. Gubinelli

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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.

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F. Flandoli, M. Gubinelli. 2000-11-01. The Gibbs ensemble of a vortex filament. https://arxiv.org/abs/math-ph/0009005

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