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A General Vector Field Coupled to a Strongly Compressible Turbulent Flow

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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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Authors and Affiliations

  1. St. Petersburg State University, St. Petersburg, Russia

    N. V. Antonov

  2. N. N. Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, 141980, Moscow Region, Russia

    N. V. Antonov

  3. Landau Institute for Theoretical Physics, RAS, Chernogolovka, Moscow Region, Russia

    M. M. Tumakova

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Published in Zapiski Nauchnykh Seminarov POMI, Vol. 509, 2021, pp. 5–24.

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Antonov, N.V., Tumakova, M.M. A General Vector Field Coupled to a Strongly Compressible Turbulent Flow. J Math Sci 275, 225–238 (2023). https://doi.org/10.1007/s10958-023-06675-9

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