Universality Classes of the Hwa-Kardar Model with Turbulent Advection

Research outputpeer-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 languageEnglish
Article number02002
Number of pages4
JournalEPJ Web of Conferences
Volume226
Publication statusE-pub ahead of print - 20 Jan 2020

Scopus subject areas

  • Statistical and Nonlinear Physics

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