Coherent structures in a turbulent environment

Abstract

A systematic method is proposed for the determination of the statistical properties of a field consisting of a coherent structure interacting with turbulent linear waves. The explicit expression of the generating functional of the correlations is obtained, performing the functional integration on a neighbourhood in the function space around the soliton. The results show that the non-gaussian fluctuations observed in the tokamak plasma edge can be explained by the intermittent formation of nonlinear coherent structures.

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