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

Y1 - 2020

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

U2 - 10.1051/epjconf/202022602002

DO - 10.1051/epjconf/202022602002

M3 - Article

VL - 226

JO - EPJ Web of Conferences

JF - EPJ Web of Conferences

SN - 2100-014X

M1 - 02002

ER -