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

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

2005-06-10

arxiv.org/abs/physics/0506099v3

Physics

Plasma Physics

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

Scientific paper

10.1063/1.2128630

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.

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