EPJ Web Conf.
Volume 226, 2020Mathematical Modeling and Computational Physics 2019 (MMCP 2019)
|Number of page(s)||4|
|Section||Mathematical Modeling, Numerical Methods, and Simulation|
|Published online||20 January 2020|
Universality Classes of the Hwa-Kardar Model with Turbulent Advection
Department of Physics, Saint-Petersburg State University,
7/9 Universitetskaya naberezhnaya,
Published online: 20 January 2020
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.
© The Authors, published by EDP Sciences, 2020
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