20 citations · 117 across the 14 of their papers we have counts for
14 papers
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…