arXiv:1505.01293 Abstract | arXiv Analytics

arXiv:1505.01293 [cond-mat.stat-mech]Abstract References Reviews Resources

Functional Renormalization Group approach to the Kraichnan model

Published 2015-05-06Version 1

We study the anomalous scaling of the structure functions of a scalar field advected by a random Gaussian velocity field, the Kraichnan model, by means of Functional Renormalization Group techniques. We analyze the symmetries of the model and derive the leading correction to the structure functions considering the renormalization of composite operators and applying the operator product expansion.

Comments: 11 pages, 5 figures

DOI: 10.1103/PhysRevE.92.033016

Categories: cond-mat.stat-mech

Subjects: 47.27.eb, 47.27.ef

Keywords: functional renormalization group approach, kraichnan model, random gaussian velocity field, functional renormalization group techniques, structure functions

Related articles: Most relevant | Search more

arXiv:cond-mat/0409167 (Published 2004-09-07)

Critical behavior of weakly interacting bosons: A functional renormalization group approach

Nils Hasselmann, Sascha Ledowski, Peter Kopietz

arXiv:1510.00169 [cond-mat.stat-mech] (Published 2015-10-01)

Functional renormalization group approach to non-collinear magnets

B. Delamotte, M. Dudka, D. Mouhanna, S. Yabunaka