Instanton for random advection

Details Instanton for random advection Instanton for random advection

1996-06-27

arxiv.org/abs/chao-dyn/9606011v1

Physics

Condensed Matter

17 pages, RevTex 3.0, Submitted to Phys.Rev.E

Scientific paper

10.1103/PhysRevE.55.2722

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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