| Issue |
EPJ Web Conf.
Volume 226, 2020
Mathematical Modeling and Computational Physics 2019 (MMCP 2019)
|
|
|---|---|---|
| Article Number | 02002 | |
| Number of page(s) | 4 | |
| Section | Mathematical Modeling, Numerical Methods, and Simulation | |
| DOI | https://doi.org/10.1051/epjconf/202022602002 | |
| Published online | 20 January 2020 | |
https://doi.org/10.1051/epjconf/202022602002
Universality Classes of the Hwa-Kardar Model with Turbulent Advection
Department of Physics, Saint-Petersburg State University,
7/9 Universitetskaya naberezhnaya,
Saint Petersburg,
199034
Russia
★ e-mail: n.antonov@spbu.ru
★★ e-mail: n.gulitskiy@spbu.ru
★★★ e-mail: p.kakin@spbu.ru
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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