Research output: Contribution to journal › Article › peer-review
A General Vector Field Coupled to a Strongly Compressible Turbulent Flow. / Антонов, Николай Викторович; Тумакова, Мария Михайловна.
In: Journal of Mathematical Sciences, Vol. 275, No. 3, 07.10.2023, p. 225-238.Research output: Contribution to journal › Article › peer-review
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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 -
ID: 111202411