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

Florin Spineanu; Madalina Vlad

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arXiv · 0909.2583

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

Florin Spineanu·Madalina Vlad

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Abstract

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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Florin Spineanu, Madalina Vlad. 2010-01-26. Field theoretical approach to the description of the coherent structures in 2D fluids and plasmas. https://arxiv.org/abs/0909.2583

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