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The Gibbs ensemble of a vortex filament
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  • Published: March 2002

The Gibbs ensemble of a vortex filament

  • Franco Flandoli1 &
  • Massimiliano Gubinelli2 

Probability Theory and Related Fields volume 122, pages 317–340 (2002)Cite this article

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  • 20 Citations

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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 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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Authors and Affiliations

  1. Dipartimento di Matematica Applicata, Università di Pisa, via Bonanno 25 bis, 56126 Pisa, Italy. e-mail: flandoli@dma.unipi.it, , , , , , IT

    Franco Flandoli

  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

    Massimiliano Gubinelli

Authors
  1. Franco Flandoli
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  2. Massimiliano Gubinelli
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Received: 31 July 2000 / Revised version: 6 March 2001 / Published online: 20 December 2001

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Flandoli, F., Gubinelli, M. The Gibbs ensemble of a vortex filament. Probab Theory Relat Fields 122, 317–340 (2002). https://doi.org/10.1007/s004400100163

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  • Issue Date: March 2002

  • DOI: https://doi.org/10.1007/s004400100163

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Keywords

  • Vortex
  • Stochastic Process
  • Partition Function
  • Limited Range
  • Incompressible Fluid
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