6533b7d2fe1ef96bd125f785

RESEARCH PRODUCT

Functional renormalization group approach to the Kraichnan model.

Carlo Pagani

subject

Pure mathematicsStatistical Mechanics (cond-mat.stat-mech)GaussianFOS: Physical sciencesRenormalization groupRenormalizationsymbols.namesakeHomogeneous spacesymbolsFunctional renormalization groupVector fieldOperator product expansionScalar fieldCondensed Matter - Statistical MechanicsMathematicsMathematical physics

description

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.

10.1103/physreve.92.033016https://pubmed.ncbi.nlm.nih.gov/29758710