Kraichnan model of passive scalar advection

Details Kraichnan model of passive scalar advection Kraichnan model of passive scalar advection

2004-10-26

arxiv.org/abs/nlin/0410058v1

J. Phys. A: Math. Gen. 39 (2006) 7801\^a?"7813

Nonlinear Sciences

Chaotic Dynamics

21 pages

Scientific paper

10.1088/0305-4470/39/25/S02

A simple model of a passive scalar quantity advected by a Gaussian non-solenoidal ("compressible") velocity field is considered. Large order asymptotes of quantum-field expansions are investigated by instanton approach. The existence of finite convergence radius of the series is proved, a position and a type of the corresponding singularity of the series in the regularization parameter are determined. Anomalous exponents of the main contributions to the structural functions are resummed using new information about the series convergence and two known orders of the expansion.

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