Instanton for random advection

M. Chertkov

doi:10.1103/physreve.55.2722

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arXiv · chao-dyn/9606011

Instanton for random advection

M. Chertkov

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Abstract

A path integral over trajectories of $2n$ fluid particles is identified with a $2n$-th order correlation function of a passive scalar convected by $d$-dimensional short-correlated multi-scale incompressible random velocity flow. Strong intermittency of the scalar is described by means of an instanton calculus (saddle point $+$ fluctuations about it) in the path integral at $n\gg d$. Anomalous scaling exponent of the $2n$-th scalar's structural function is found analytically.

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BibTeX RIS

M. Chertkov. 1996-06-27. Instanton for random advection. https://doi.org/10.1103/physreve.55.2722

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