Passive advection of a vector field: Effects of strong compressibility

Nikolay V. Antonov, Nikolay M. Gulitskiy, Maria M. Kostenko, Tomaš Lučivjansky

Research output: Contribution to conferencePaperpeer-review

Abstract

The field theoretic renormalization group and the operator product expansion are applied to the stochastic model of a passively advected vector field. The advecting velocity field is generated by the stochastic Navier-Stokes equation with compressibility taken into account. The model is considered in the vicinity of space dimension d = 4 and the perturbation theory is constructed within a double expansion scheme in y and ϵ = 4 - d, where y describes scaling behaviour of the random force that enters a stochastic equation for the velocity field. We show that the correlation functions of the passive vector field in the inertial range exhibit anomalous scaling behaviour. The critical dimensions of tensor composite operators of passive vector field are calculated in the leading order of y, ϵ expansion.

Original languageEnglish
Pages79-96
Number of pages18
StatePublished - 1 Jan 2017
Event10th International Conference on Chaotic Modeling and Simulation, CHAOS 2017 - Barcelona, Spain
Duration: 30 May 20172 Jun 2017

Conference

Conference10th International Conference on Chaotic Modeling and Simulation, CHAOS 2017
CountrySpain
CityBarcelona
Period30/05/172/06/17

Scopus subject areas

  • Statistical and Nonlinear Physics

Keywords

  • Anomalous scaling
  • Field-theoretic renormalization group
  • Fully developed turbulence
  • Magnetohydrodynamics

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