A General Vector Field Coupled to a Strongly Compressible Turbulent Flow

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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

BibTeX

@article{0c3eb2fc6c3249fcbfab4f0da0d094b8,

title = "A General Vector Field Coupled to a Strongly Compressible Turbulent Flow",

abstract = "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.",

author = "Антонов, {Николай Викторович} and Тумакова, {Мария Михайловна}",

year = "2023",

month = oct,

day = "7",

doi = "10.1007/s10958-023-06675-9",

language = "English",

volume = "275",

pages = "225--238",

journal = "Journal of Mathematical Sciences",

issn = "1072-3374",

publisher = "Springer Nature",

number = "3",

}

RIS

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