A general vector field coupled to a strongly compressible turbulent flow

N. V. Antonov   ; M. M. Tumakova

Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 28, Tome 509 (2021), pp. 5-24

Résumé

We consider the model of a transverse vector (e.g. magnetic) field with the most general form of the nonlinearity, known as the $\mathcal{A}$ 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 $\mathcal{A}$ 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.

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