Field theoretical approach to the description of the coherent structures in 2D fluids and plasmas

Details Field theoretical approach to the description of the coherent structures in 2D fluids and plasmas Field theoretical approach to the description of the coherent structures in 2D fluids and plasmas

2009-09-14

arxiv.org/abs/0909.2583v2

Physics

Fluid Dynamics

64 pages, Latex and EPS figures included. New references added

Scientific paper

Evolving from turbulent states the 2D fluids and the plasmas reach states characterized by a high degree of order, consisting of few vortices. These asymptotic states represent a small subset in the space of functions and are characterised by properties that are difficult to identify in a direct approach. The field theoretical approach to the dynamics and to the asymptotic states of fluids and plasmas in 2D provides a considerable extension of the usual perspective. The present works discusses a series of consequences of the field theoretical approach, when it is applied to particular problems. The discussion is developed around known physical problems: the current density profiles in cylindrical plasma, the density pinch in tokamak and the concentration of vorticity.

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