A general vector field coupled to a strongly compressible turbulent flow

Nikolai V. Antonov; Maria M. Tumakova

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arXiv · 2111.01054

A general vector field coupled to a strongly compressible turbulent flow

Nikolai V. Antonov·Maria M. Tumakova

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Abstract

We consider the model of a transverse vector (e.g. magnetic) field with the most general form of the nonlinearity, known as the ${\cal A}$ 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 ${\cal A}$ 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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Nikolai V. Antonov, Maria M. Tumakova. 2021-11-01. A general vector field coupled to a strongly compressible turbulent flow. https://arxiv.org/abs/2111.01054

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