106 citations · 918 across the 45 of their papers we have counts for
45 papers
Effect of random environment on kinetic roughening: Kardar-Parisi-Zhang model with a static noise coupled to the Navier-Stokes equation
N. V. Antonov, P. I. Kakin, M. A. Reiter
Kinetic roughening of a randomly growing surface can be modelled by the Kardar-Parisi-Zhang equation with a time-independent (``spatially quenched'' or ``columnar'') random noise.…
Random Walk on a Rough Surface: Renormalization Group Analysis of a Simple Model
N. V. Antonov, N. M. Gulitskiy, P. I. Kakin +1
The field theoretic renormalization group is applied to a simple model of random walk on a rough fluctuating surface. We consider the Fokker--Planck equation for a particle in a un…
Dimensional transmutation and nonconventional scaling behaviour in a model of self-organized criticality
N. V. Antonov, N. M. Gulitskiy, P. I. Kakin +1
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 w…
Effects of turbulent environment on self-organized critical behavior: Isotropy vs Anisotropy
N. V. Antonov, N. M. Gulitskiy, P. I. Kakin +1
We study a self-organized critical system under influence of turbulent motion of the environment. The system is described by the anisotropic continuous stochastic equation proposed…
Effects of Turbulent Environment and Random Noise on Self-Organized Critical Behavior: Universality vs Nonuniversality
N. V. Antonov, N. M. Gulitskiy, P. I. Kakin +1
Self-organized criticality in the Hwa-Kardar model of "running sandpile" [Phys. Rev. A 45, 7002 (1992)] with a turbulent motion of the environment taken into account is studied wit…
Effects of turbulent environment on the surface roughening: The Kardar-Parisi-Zhang model coupled to the stochastic Navier-Stokes equation
N. V. Antonov, N. M. Gulitskiy, P. I. Kakin +1
The Kardar-Parisi-Zhang model of non-equilibrium critical behaviour (kinetic surface roughening) with turbulent motion of the environment taken into account is studied by the field…