Renormalization Group in the Problem of Active Scalar Advection

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Renormalization Group in the Problem of Active Scalar Advection. / Antonov, N. V.; Kostenko, M. M.

In: Journal of Mathematical Sciences (United States), Vol. 257, No. 4, 01.09.2021, p. 425-441.

Research output: Contribution to journal › Article › peer-review

Author

Antonov, N. V. ; Kostenko, M. M. / Renormalization Group in the Problem of Active Scalar Advection. In: Journal of Mathematical Sciences (United States). 2021 ; Vol. 257, No. 4. pp. 425-441.

BibTeX

@article{899b70735aa74ac1843eb3009ac9c4c1,

title = "Renormalization Group in the Problem of Active Scalar Advection",

abstract = "The field theoretic renormalization group (RG) is applied to a near-equilibrium fluid model associated with a scalar field (like temperature or density of an impurity) that is active, that is, affects the dynamics of the fluid itself. It is shown that the only possible nontrivial infrared asymptotic regimes are governed by “passive” fixed points of the RG equations, where the back reaction is irrelevant. This result resembles the result obtained by Nandy and Bhattacharjee (1998) in a model describing active convection by fully developed turbulence. Furthermore, the existence of “exotic” fixed points with negative and complex effective couplings and transport coefficients that may suggest possible directions for future studies is established.",

author = "Antonov, {N. V.} and Kostenko, {M. M.}",

note = "Publisher Copyright: {\textcopyright} 2021, Springer Science+Business Media, LLC, part of Springer Nature.",

year = "2021",

month = sep,

day = "1",

doi = "10.1007/s10958-021-05492-2",

language = "English",

volume = "257",

pages = "425--441",

journal = "Journal of Mathematical Sciences",

issn = "1072-3374",

publisher = "Springer Nature",

number = "4",

}

RIS

TY - JOUR

T1 - Renormalization Group in the Problem of Active Scalar Advection

AU - Antonov, N. V.

AU - Kostenko, M. M.

PY - 2021/9/1

Y1 - 2021/9/1

N2 - The field theoretic renormalization group (RG) is applied to a near-equilibrium fluid model associated with a scalar field (like temperature or density of an impurity) that is active, that is, affects the dynamics of the fluid itself. It is shown that the only possible nontrivial infrared asymptotic regimes are governed by “passive” fixed points of the RG equations, where the back reaction is irrelevant. This result resembles the result obtained by Nandy and Bhattacharjee (1998) in a model describing active convection by fully developed turbulence. Furthermore, the existence of “exotic” fixed points with negative and complex effective couplings and transport coefficients that may suggest possible directions for future studies is established.

AB - The field theoretic renormalization group (RG) is applied to a near-equilibrium fluid model associated with a scalar field (like temperature or density of an impurity) that is active, that is, affects the dynamics of the fluid itself. It is shown that the only possible nontrivial infrared asymptotic regimes are governed by “passive” fixed points of the RG equations, where the back reaction is irrelevant. This result resembles the result obtained by Nandy and Bhattacharjee (1998) in a model describing active convection by fully developed turbulence. Furthermore, the existence of “exotic” fixed points with negative and complex effective couplings and transport coefficients that may suggest possible directions for future studies is established.

UR - http://www.scopus.com/inward/record.url?scp=85113391140&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/f9f676d6-8038-31f3-9e70-1ecf1d870710/

U2 - 10.1007/s10958-021-05492-2

DO - 10.1007/s10958-021-05492-2

M3 - Article

AN - SCOPUS:85113391140

VL - 257

SP - 425

EP - 441

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 4

ER -

ID: 86531446