Anomalous Scaling Exponents of a White-Advected Passive Scalar

M. Chertkov, G. Falkovich

Research output: Contribution to journalArticlepeer-review

124 Scopus citations

Abstract

For Kraichnan’s problem of passive scalar advection by a velocity field delta correlated in time, the limit of large space dimensionality d ≫ 1 is considered.Scaling exponents of the scalar field are analytically found to be ζ 2n = n ζ 2-2(2-ζ 2)n (n -1)/d, while those of the dissipation field are μ n = -2(2-ζ 2)n (n -1)/d for orders n ≪d.The refined similarity hypothesis ζ 2n = n ζ 2 + μ n is thus established by a straightforward calculation for the case considered.

Original languageEnglish (US)
Pages (from-to)2706-2709
Number of pages4
JournalPhysical review letters
Volume76
Issue number15
DOIs
StatePublished - 1996
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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