Universality Classes of the Hwa-Kardar Model with Turbulent Advection

Nikolay V.  Antonov; Nikolay M.  Gulitskiy; Polina I.  Kakin; Vitaliy D.  Serov

Universality Classes of the Hwa-Kardar Model with Turbulent Advection

Nikolay V. Antonov, Nikolay M. Gulitskiy, Polina I. Kakin, Vitaliy D. Serov

Research output › peer-review

Abstract

Self-organized critical system in turbulent fluid environment is studied with the renormalization group analysis. The system is modelled by the anisotropic stochastic differential equation for a coarse-grained field proposed by Hwa and Kardar [Phys. Rev. Lett. 62, 1813 (1989)]. The turbulent motion of the environment is described by the anisotropic d-dimensional velocity ensemble based on the one introduced by Avellaneda and Majda [Commun. Math. Phys. 131, 381 (1990)] and modified to include dependence on time (finite correlation time). Renormalization group analysis reveals three universality classes (types of critical behavior) differentiated by the parameters of the system.

Original language	English
Article number	02002
Number of pages	4
Journal	EPJ Web of Conferences
Volume	226
Publication status	E-pub ahead of print - 20 Jan 2020

Scopus subject areas

Statistical and Nonlinear Physics

Access to Document

Antonov_Gulitskiy_Kakin_Serov_EPJFinal published version, 101 KB

Fingerprint Dive into the research topics of 'Universality Classes of the Hwa-Kardar Model with Turbulent Advection'. Together they form a unique fingerprint.

Cite this

@article{2908c59a107a4ce084bb232c9d5a574c,

title = "Universality Classes of the Hwa-Kardar Model with Turbulent Advection",

abstract = "Self-organized critical system in turbulent fluid environment is studied with the renormalization group analysis. The system is modelled by the anisotropic stochastic differential equation for a coarse-grained field proposed by Hwa and Kardar [Phys. Rev. Lett. 62, 1813 (1989)]. The turbulent motion of the environment is described by the anisotropic d-dimensional velocity ensemble based on the one introduced by Avellaneda and Majda [Commun. Math. Phys. 131, 381 (1990)] and modified to include dependence on time (finite correlation time). Renormalization group analysis reveals three universality classes (types of critical behavior) differentiated by the parameters of the system.",

author = "Antonov, {Nikolay V.} and Gulitskiy, {Nikolay M.} and Kakin, {Polina I.} and Serov, {Vitaliy D.}",

year = "2020",

month = jan,

day = "20",

language = "English",

volume = "226",

journal = "EPJ Web of Conferences",

issn = "2100-014X",

publisher = "EDP Sciences",

}

TY - JOUR

T1 - Universality Classes of the Hwa-Kardar Model with Turbulent Advection

AU - Antonov, Nikolay V.

AU - Gulitskiy, Nikolay M.

AU - Kakin, Polina I.

AU - Serov, Vitaliy D.

PY - 2020/1/20

Y1 - 2020/1/20

N2 - Self-organized critical system in turbulent fluid environment is studied with the renormalization group analysis. The system is modelled by the anisotropic stochastic differential equation for a coarse-grained field proposed by Hwa and Kardar [Phys. Rev. Lett. 62, 1813 (1989)]. The turbulent motion of the environment is described by the anisotropic d-dimensional velocity ensemble based on the one introduced by Avellaneda and Majda [Commun. Math. Phys. 131, 381 (1990)] and modified to include dependence on time (finite correlation time). Renormalization group analysis reveals three universality classes (types of critical behavior) differentiated by the parameters of the system.

AB - Self-organized critical system in turbulent fluid environment is studied with the renormalization group analysis. The system is modelled by the anisotropic stochastic differential equation for a coarse-grained field proposed by Hwa and Kardar [Phys. Rev. Lett. 62, 1813 (1989)]. The turbulent motion of the environment is described by the anisotropic d-dimensional velocity ensemble based on the one introduced by Avellaneda and Majda [Commun. Math. Phys. 131, 381 (1990)] and modified to include dependence on time (finite correlation time). Renormalization group analysis reveals three universality classes (types of critical behavior) differentiated by the parameters of the system.

UR - https://www.epj-conferences.org/articles/epjconf/abs/2020/02/epjconf_mmcp2019_02002/epjconf_mmcp2019_02002.html

M3 - Article

VL - 226

JO - EPJ Web of Conferences

JF - EPJ Web of Conferences

SN - 2100-014X

M1 - 02002

ER -