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

TL;DR

This paper applies a field theoretical framework to analyze the asymptotic ordered states of 2D fluids and plasmas, providing new insights into vortex structures and related phenomena.

Contribution

It introduces a novel field theoretical approach to describe the dynamics and asymptotic states of 2D fluids and plasmas, extending traditional methods.

Findings

Analysis of current density profiles in cylindrical plasma

Insights into density pinch phenomena in tokamaks

Understanding vorticity concentration in 2D fluids

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.