Dimensional transmutation and nonconventional scaling behaviour in a model of self-organized criticality
N. V. Antonov,
N. M. Gulitskiy,
P. I. Kakin
et al.
Abstract:The paper addresses two unusual scaling regimes (types of critical behaviour) predicted by the field-theoretic renormalization group analysis for a self-organized critical system with turbulent motion of the environment. The system is modelled by the anisotropic stochastic equation for a "running sandpile" introduced by Hwa and Kardar in [Phys. Rev. Lett. 62: 1813(1989]. The turbulent motion is described by the isotropic Kazantsev-Kraichnan "rapid-change" velocity ensemble for an incompressible fluid. The orig… Show more
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