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VOLUME 68 (1998) | ISSUE 7 | PAGE 588
Lagrangian instanton for the Kraichnan model
PACS: 05.40.+j, 47.10.+g, 47.27.-i
We consider high-order correlation functions of the passive scalar in the Kraichnan model. Using the instanton formalism we find the scaling exponents ζη of the structure functions Sn for η ^> 1 under the additional condition άζι ^> 1 (where d is the dimensionality of space). At η < nc (where nc — ^/[2(2 — £2)]) the exponents are ζη — (C2/4)(2n — n2/nc)y while at η > nc they are η-independent: ζη = Сг«е/4« We also estimate η-dependent factors