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The Gibbs ensemble of a vortex filament |
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| Authors: | Franco Flandoli Massimiliano Gubinelli |
| Institution: | (1) Dipartimento di Matematica Applicata, Università di Pisa, via Bonanno 25 bis, 56126 Pisa, Italy. e-mail: flandoli@dma.unipi.it, IT;(2) Dipartimento di Fisica and INFN – Sezione di Pisa, Università di Pisa, via Buonarroti 2, Ed. B, 56127 Pisa, Italy. e-mail: mgubi@cibs.sns.it, IT |
| Abstract: | We introduce a statistical ensemble for a single vortex filament of a three dimensional incompressible fluid. The core of the vortex is modeled by a quite generic stochastic process. We prove the existence of the partition function for both positive and a limited range of negative temperatures. Received: 31 July 2000 / Revised version: 6 March 2001 / Published online: 20 December 2001 |
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