A GENERAL VECTOR FIELD COUPLED TO A STRONGLY COMPRESSIBLE TURBULENT FLOW

N. V. Antonov, M. M. Tumakova

Research output: Contribution to journalArticlepeer-review

Abstract

We consider the model of a transverse vector (e.g. magnetic) field with the most general form of the nonlinearity, known as
the A model, passively advected by a strongly compressible turbulent flow, governed by the randomly stirred Navier-Stokes equation.
The full stochastic problem is equivalent to a certain renormalizable
field theoretic model with an infrared- attractive fixed point. Thus,
the scaling behaviour for the large-scale, long-distance behaviour is
established. However, the question whether the parameter A tends
to a certain fixed-point value of the renormalization group equations or remains arbitrary, cannot be answered within the one-loop
approximation of our study.
Translated title of the contributionОбщее векторное поле, взаимодействующее с сильно сжимаемым турбулентным течением
Original languageEnglish
Pages (from-to)5-24
JournalЗаписки научных семинаров ПОМИ
Volume509
Issue number28
StatePublished - 2021

Keywords

  • turbulent advection
  • passive vector field
  • renormalization group

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