Instanton for random advection

Michael Chertkov

Research output: Contribution to journalArticlepeer-review

73 Citations (Scopus)


A path integral over trajectories of 2n fluid particles is identified with a 2nth order correlation function of a passive scalar convected by d-dimensional short-correlated multiscale incompressible random velocity flow. Strong intermittency of the scalar is described by means of an instanton calculus (saddle point plus fluctuations about it) in the path integral at n≫:d. The anomalous scaling exponent of the 2nth scalar's structural function is found analytically.

Original languageEnglish
Pages (from-to)2722-2735
Number of pages14
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Issue number3
Publication statusPublished - 1997
Externally publishedYes


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