Lagrangian instanton for the Kraichnan model |
| |
Authors: | E. Balkovsky V. Lebedev |
| |
Affiliation: | (1) Department of Physics of Complex Systems, Weizmann Institute of Science, Rehovot, 76100, Israel;(2) Landau Institute for Theoretical Physics, Russian Academy of Sciences, 117940 Moscow, Russia |
| |
Abstract: | We consider high-order correlation functions of the passive scalar in the Kraichnan model. Using the instanton formalism, we find the scaling exponents ζn of the structure functions S n for n≫1 under the additional condition dζ2≫1 (where d is the dimensionality of space).At n<n c (where n c =dζ2/[2(2−ζ2)]) the exponents are ζn=(ζ 2/4)(2n−n 2/n c ), while at n>n c they are n-independent: ζ n=ζ2 n c /4. We also estimate the n-dependent factors in S n . Pis’ma Zh. éksp. Teor. Fiz. 68, No. 7, 588–593 (10 October 1998) Published in English in the original Russian journal. Edited by Steve Torstveit. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|