The Gibbs ensemble of a vortex filament
classification
🧮 math-ph
math.MPmath.PR
keywords
vortexensemblefilamentcoredimensionalexistencefluidfunction
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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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