TY - JOUR

T1 - A General Vector Field Coupled to a Strongly Compressible Turbulent Flow

AU - Антонов, Николай Викторович

AU - Тумакова, Мария Михайловна

PY - 2023/10/7

Y1 - 2023/10/7

N2 - 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.

AB - 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.

UR - https://www.mendeley.com/catalogue/8f570abc-9a3a-370f-8a62-d3528860cd20/

U2 - 10.1007/s10958-023-06675-9

DO - 10.1007/s10958-023-06675-9

M3 - Article

VL - 275

SP - 225

EP - 238

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 3

ER -