Probability Theory and Related Fields

, Volume 122, Issue 3, pp 317–340 | Cite as

The Gibbs ensemble of a vortex filament

  • Franco Flandoli
  • Massimiliano Gubinelli


 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.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Franco Flandoli
    • 1
  • Massimiliano Gubinelli
    • 2
  1. 1.Dipartimento di Matematica Applicata, Università di Pisa, via Bonanno 25 bis, 56126 Pisa, Italy. e-mail: flandoli@dma.unipi.itIT
  2. 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.itIT

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