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Strongly Nonlinear Diffusion in Compressible Turbulent Flow. / Антонов, Николай Викторович; Гулицкий, Николай Михайлович; Какинь, Полина Игоревна; Бабакин, Андрей Александрович.

в: Physics of Particles and Nuclei, Том 56, № 6, 01.12.2025, стр. 1338-1342.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Антонов, НВ, Гулицкий, НМ, Какинь, ПИ & Бабакин, АА 2025, 'Strongly Nonlinear Diffusion in Compressible Turbulent Flow', Physics of Particles and Nuclei, Том. 56, № 6, стр. 1338-1342. https://doi.org/10.1134/S1063779625700455

APA

Антонов, Н. В., Гулицкий, Н. М., Какинь, П. И., & Бабакин, А. А. (2025). Strongly Nonlinear Diffusion in Compressible Turbulent Flow. Physics of Particles and Nuclei, 56(6), 1338-1342. https://doi.org/10.1134/S1063779625700455

Vancouver

Антонов НВ, Гулицкий НМ, Какинь ПИ, Бабакин АА. Strongly Nonlinear Diffusion in Compressible Turbulent Flow. Physics of Particles and Nuclei. 2025 Дек. 1;56(6):1338-1342. https://doi.org/10.1134/S1063779625700455

Author

Антонов, Николай Викторович ; Гулицкий, Николай Михайлович ; Какинь, Полина Игоревна ; Бабакин, Андрей Александрович. / Strongly Nonlinear Diffusion in Compressible Turbulent Flow. в: Physics of Particles and Nuclei. 2025 ; Том 56, № 6. стр. 1338-1342.

BibTeX

@article{06913a5ab86d475d911f83d4fe7d97a0,
title = "Strongly Nonlinear Diffusion in Compressible Turbulent Flow",
abstract = "In this paper we consider the model of turbulent diffusion of a passive scalar field in a compressible turbulent flow. The velocity field is modeled by the Kazantsev–Kraichnan “rapid-change” ensemble, while the scalar density field is described by a strongly nonlinear stochastic advection-diffusion equation. As a requirement of renormalizability, the model necessarily involves infinite number of coupling constants. Despite this fact, it is possible to use the renormalization group technique. Renormalization group equations reveal existence of two-dimensional surfaces of fixed points in the infinite-dimensional space of couplings. If some areas on these surfaces involve infrared attractive regions, the problem allows for the large-scale, long-time scaling behaviour. Critical dimensions of the fields and parameters and the spreading law for the particle{\textquoteright}s cloud are derived for different scaling regimes.",
author = "Антонов, {Николай Викторович} and Гулицкий, {Николай Михайлович} and Какинь, {Полина Игоревна} and Бабакин, {Андрей Александрович}",
year = "2025",
month = dec,
day = "1",
doi = "10.1134/S1063779625700455",
language = "English",
volume = "56",
pages = "1338--1342",
journal = "Physics of Particles and Nuclei",
issn = "1063-7796",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "6",

}

RIS

TY - JOUR

T1 - Strongly Nonlinear Diffusion in Compressible Turbulent Flow

AU - Антонов, Николай Викторович

AU - Гулицкий, Николай Михайлович

AU - Какинь, Полина Игоревна

AU - Бабакин, Андрей Александрович

PY - 2025/12/1

Y1 - 2025/12/1

N2 - In this paper we consider the model of turbulent diffusion of a passive scalar field in a compressible turbulent flow. The velocity field is modeled by the Kazantsev–Kraichnan “rapid-change” ensemble, while the scalar density field is described by a strongly nonlinear stochastic advection-diffusion equation. As a requirement of renormalizability, the model necessarily involves infinite number of coupling constants. Despite this fact, it is possible to use the renormalization group technique. Renormalization group equations reveal existence of two-dimensional surfaces of fixed points in the infinite-dimensional space of couplings. If some areas on these surfaces involve infrared attractive regions, the problem allows for the large-scale, long-time scaling behaviour. Critical dimensions of the fields and parameters and the spreading law for the particle’s cloud are derived for different scaling regimes.

AB - In this paper we consider the model of turbulent diffusion of a passive scalar field in a compressible turbulent flow. The velocity field is modeled by the Kazantsev–Kraichnan “rapid-change” ensemble, while the scalar density field is described by a strongly nonlinear stochastic advection-diffusion equation. As a requirement of renormalizability, the model necessarily involves infinite number of coupling constants. Despite this fact, it is possible to use the renormalization group technique. Renormalization group equations reveal existence of two-dimensional surfaces of fixed points in the infinite-dimensional space of couplings. If some areas on these surfaces involve infrared attractive regions, the problem allows for the large-scale, long-time scaling behaviour. Critical dimensions of the fields and parameters and the spreading law for the particle’s cloud are derived for different scaling regimes.

UR - https://www.mendeley.com/catalogue/7657a9f7-3d90-32d8-ac1d-496e7add44ac/

U2 - 10.1134/S1063779625700455

DO - 10.1134/S1063779625700455

M3 - Article

VL - 56

SP - 1338

EP - 1342

JO - Physics of Particles and Nuclei

JF - Physics of Particles and Nuclei

SN - 1063-7796

IS - 6

ER -

ID: 143068644