20 citations · 117 across the 14 of their papers we have counts for
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Renormalization group analysis of a continuous model with self-organized criticality: Effects of randomly moving environment
N. V. Antonov, P. I. Kakin, N. M. Lebedev +1
We study a strongly anisotropic self-organized critical system coupled to an isotropic random fluid environment. The former is described by a continuous (coarse-grained) model due…
Random Walk on a Random Surface: Implications of Non-perturbative Concepts and Dynamical Emergence of Galilean Symmetry
N. V. Antonov, N. M. Gulitskiy, P. I. Kakin +1
We study a model of random walk on a fluctuating rough surface using the field-theoretic renormalization group (RG). The surface is modelled by the well-known Kardar--Parisi--Zhang…
Field Theoretic Renormalization Group in an Infinite-Dimensional Model of Random Surface Growth in Random Environment
N. V. Antonov, A. A. Babakin, N. M. Gulitskiy +1
The influence of a random environment on the dynamics of a fluctuating rough surface is investigated using a field theoretic renormalization group. The environment motion is modell…
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…
Static approach to renormalization group analysis of stochastic models with spatially quenched disorder
N. V. Antonov, P. I. Kakin, N. M. Lebedev
A new ''static'' renormalization group approach to stochastic models of fluctuating surfaces with spatially quenched noise is proposed in which only time-independent quantities are…
The Kardar-Parisi-Zhang model of a random kinetic growth: effects of a randomly moving medium
N. V. Antonov, P. I. Kakin, N. M. Lebedev
The effects of a randomly moving environment on a randomly growing interface are studied by the field theoretic renormalization group analysis. The kinetic growth of an interface (…
Scaling in erosion of landscapes: Renormalization group analysis of a model with infinitely many couplings
N. V. Antonov, P. I. Kakin
Standard field theoretic renormalization group is applied to the model of landscape erosion introduced by R. Pastor-Satorras and D. H. Rothman [Phys. Rev. Lett. 80: 4349 (1998); J.…
Effects of random environment on a self-organized critical system: Renormalization group analysis of a continuous model
N. V. Antonov, P. I. Kakin
We study effects of random fluid motion on a system in a self-organized critical state. The latter is described by the continuous stochastic model, proposed by Hwa and Kardar [{\it…
Random interface growth in random environment: Renormalization group analysis of a simple model
N. V. Antonov, P. I. Kakin
We study effects of turbulent mixing on the random growth of an interface in the problem of the deposition of a substance on a substrate. The growth is modelled by the well-known K…