Instanton for the Kraichnan Model View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

1998

AUTHORS

E. Balkovsky , V. Lebedev

ABSTRACT

We consider high-order correlation functions of passive scalar in the Kraichnan model [1]. Using the instanton formalism we find the exponents ζn of the structure functions Sn for n ≫ 1 at the condition dζ2 ≫ 1 (d is the dimensionality of space). At n < nc (where nc = dζ2/[2(2 - ζ2)]) the exponents are ζn = (ζ2/4)(2n - n2/nc), whereas at n > nc they are n-independent: ζn =ζ2nc/4. We also estimate n-dependent factors in Sn and critical behavior of Sn at n close to nc. More... »

PAGES

503-506

Book

TITLE

Advances in Turbulence VII

ISBN

978-94-010-6151-3
978-94-011-5118-4

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-94-011-5118-4_124

DOI

http://dx.doi.org/10.1007/978-94-011-5118-4_124

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1049745539


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