Anisotropic Turbulent Advection of a Passive Vector Field: Effects of the Finite Correlation Time

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

16 Scopus citations

Abstract

The turbulent passive advection under the environment (velocity) field with fi- nite correlation time is studied. Inertial-range asymptotic behavior of a vector (e.g., magnetic) field, passively advected by a strongly anisotropic turbulent flow, is investigated by means of the field theoretic renormalization group and the operator product expansion. The advecting velocity field is Gaussian, with finite correlation time and prescribed pair correlation function. The inertial-range behavior of the model is described by two regimes (the limits of vanishing or infinite correlation time) that correspond to nontrivial fixed points of the RG equations and depend on the relation between the exponents in the energy spectrum E ∝ k 1−ξ ⊥ and the dispersion law ω ∝ k 2−η ⊥ . The corresponding anomalous exponents are associated with the critical dimensions of tensor composite operators built solely of the passive vector field itself. In contrast to the well-known isotropic Kraichnan model, where various correlation functio
Original languageEnglish
Title of host publicationAnisotropic Turbulent Advection of a Passive Vector Field: Effects of the Finite Correlation Time
Pages02008_1-6
DOIs
StatePublished - 2016

Fingerprint Dive into the research topics of 'Anisotropic Turbulent Advection of a Passive Vector Field: Effects of the Finite Correlation Time'. Together they form a unique fingerprint.

Cite this