2006/03/14 by Antti Kupiainen, Paolo Muratore-Ginanneschi · 2 citations
Physics and Astronomy · #nlin.CD #cond-mat.stat-mech #hep-th
paper · pdf · doi:10.1007/s10955-006-9205-9
published as J.Statist.Phys.126:669-724,2007 · Latex (11pt) 43 pages, 22 figures (Feynman diagrams). The reader interested in the technical details of the calculations presented in the paper may want to visit: http://www.math.helsinki.fi/mathphys/paolo_files/passive_scalar/passcal.html
arxiv created 2006/03/14 · arxiv updated 2009/12/01
We present a systematic way to compute the scaling exponents of the structure functions of the Kraichnan model of turbulent advection in a series of powers of ξ, adimensional coupling constant measuring the degree of roughness of the advecting velocity field. We also investigate the relation between standard and renormalization group improved perturbation theory. The aim is to shed light on the relation between renormalization group methods and the statistical conservation laws of the Kraichnan model, also known as zero modes.