Statistical properties of an ensemble of vortices interacting with a turbulent field

Abstract

We develop an analytical formalism to determine the statistical properties of a system consisting of an ensemble of vortices with random position in plane interacting with a turbulent field. We calculate the generating functional by path-integral methods. The function space is the statistical ensemble composed of two parts, the first one representing the vortices influenced by the turbulence and the second one the turbulent field scattered by the randomly placed vortices.

Third version; Important corrections in the normalization for the gas of vortices, etc

References in corpus (2)

• The asymptotic quasi-stationary states of the two-dimensional magnetically confined plasma and of the planetary atmosphere
• Self-duality of the asymptotic relaxation states of fluids and plasmas

Cited by in corpus (2)

• Dynamics of vortices and drift waves: a point vortex model
• On the late phase of relaxation of two-dimensional fluids: turbulence of unitons