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Self-organized criticality in anisotropic system within a randomly moving environment. / Антонов, Николай Викторович; Какинь, Полина Игоревна; Лебедев, Никита Михайлович; Лучин, Александр Юрьевич.

In: AIP Conference Proceedings, Vol. 2731, No. 1, 040001, 15.05.2023.

Research output: Contribution to journal › Conference article › peer-review

Harvard

Антонов, НВ, Какинь, ПИ, Лебедев, НМ & Лучин, АЮ 2023, 'Self-organized criticality in anisotropic system within a randomly moving environment', AIP Conference Proceedings, vol. 2731, no. 1, 040001. https://doi.org/10.1063/5.0133616

APA

Антонов, Н. В., Какинь, П. И., Лебедев, Н. М., & Лучин, А. Ю. (2023). Self-organized criticality in anisotropic system within a randomly moving environment. AIP Conference Proceedings, 2731(1), [040001]. https://doi.org/10.1063/5.0133616

Vancouver

Антонов НВ, Какинь ПИ, Лебедев НМ, Лучин АЮ. Self-organized criticality in anisotropic system within a randomly moving environment. AIP Conference Proceedings. 2023 May 15;2731(1). 040001. https://doi.org/10.1063/5.0133616

Author

Антонов, Николай Викторович ; Какинь, Полина Игоревна ; Лебедев, Никита Михайлович ; Лучин, Александр Юрьевич. / Self-organized criticality in anisotropic system within a randomly moving environment. In: AIP Conference Proceedings. 2023 ; Vol. 2731, No. 1.

BibTeX

@article{2f7eccde54514361931bed7cc8e9c75c,
title = "Self-organized criticality in anisotropic system within a randomly moving environment",
abstract = "A system with self-organized criticality in a randomly moving environment is studied with field theoretic renormalization group analysis. The system is described by the anisotropic model of a {"}running sandpile{"}(continuous stochastic equation) introduced by Hwa and Kardar in [Phys. Rev. Lett. 62: 1813 (1989)]. Moving environment is modelled by the Navier-Stokes equation for a randomly stirred incompressible fluid. We find a system of β-functions whose zeroes (being coordinates of fixed points of renormalization group equation) determine universality classes - regimes of critical behavior. It turns out that at most realistic values of the spatial dimension d = 2 and d = 3 there exists universality class of the pure advection by randomly moving environment (i.e., of a passively advected scalar field). Thus, isotropic motion renders both the nonlinearity of the Hwa-Kardar model and its anisotropy marginal (or irrelevant) for long-time large-distance behavior. Practical calculations are performed to the first order of the expansion in small parameter ϵ (one-loop approximation).",
author = "Антонов, {Николай Викторович} and Какинь, {Полина Игоревна} and Лебедев, {Никита Михайлович} and Лучин, {Александр Юрьевич}",
year = "2023",
month = may,
day = "15",
doi = "10.1063/5.0133616",
language = "English",
volume = "2731",
journal = "AIP Conference Proceedings",
issn = "0094-243X",
publisher = "American Institute of Physics",
number = "1",
note = "INTERNATIONAL WORKSHOP ON STATISTICAL PHYSICS 2021, IWOSP 2021 ; Conference date: 01-12-2021 Through 03-12-2021",

}

RIS

TY - JOUR

T1 - Self-organized criticality in anisotropic system within a randomly moving environment

AU - Антонов, Николай Викторович

AU - Какинь, Полина Игоревна

AU - Лебедев, Никита Михайлович

AU - Лучин, Александр Юрьевич

PY - 2023/5/15

Y1 - 2023/5/15

N2 - A system with self-organized criticality in a randomly moving environment is studied with field theoretic renormalization group analysis. The system is described by the anisotropic model of a "running sandpile"(continuous stochastic equation) introduced by Hwa and Kardar in [Phys. Rev. Lett. 62: 1813 (1989)]. Moving environment is modelled by the Navier-Stokes equation for a randomly stirred incompressible fluid. We find a system of β-functions whose zeroes (being coordinates of fixed points of renormalization group equation) determine universality classes - regimes of critical behavior. It turns out that at most realistic values of the spatial dimension d = 2 and d = 3 there exists universality class of the pure advection by randomly moving environment (i.e., of a passively advected scalar field). Thus, isotropic motion renders both the nonlinearity of the Hwa-Kardar model and its anisotropy marginal (or irrelevant) for long-time large-distance behavior. Practical calculations are performed to the first order of the expansion in small parameter ϵ (one-loop approximation).

AB - A system with self-organized criticality in a randomly moving environment is studied with field theoretic renormalization group analysis. The system is described by the anisotropic model of a "running sandpile"(continuous stochastic equation) introduced by Hwa and Kardar in [Phys. Rev. Lett. 62: 1813 (1989)]. Moving environment is modelled by the Navier-Stokes equation for a randomly stirred incompressible fluid. We find a system of β-functions whose zeroes (being coordinates of fixed points of renormalization group equation) determine universality classes - regimes of critical behavior. It turns out that at most realistic values of the spatial dimension d = 2 and d = 3 there exists universality class of the pure advection by randomly moving environment (i.e., of a passively advected scalar field). Thus, isotropic motion renders both the nonlinearity of the Hwa-Kardar model and its anisotropy marginal (or irrelevant) for long-time large-distance behavior. Practical calculations are performed to the first order of the expansion in small parameter ϵ (one-loop approximation).

UR - https://www.mendeley.com/catalogue/41ad486e-0900-3bbd-9ba7-5b079bb0f582/

U2 - 10.1063/5.0133616

DO - 10.1063/5.0133616

M3 - Conference article

VL - 2731

JO - AIP Conference Proceedings

JF - AIP Conference Proceedings

SN - 0094-243X

IS - 1

M1 - 040001

T2 - INTERNATIONAL WORKSHOP ON STATISTICAL PHYSICS 2021

Y2 - 1 December 2021 through 3 December 2021

ER -

ID: 105079694