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213 papers · 1 filter
Renormalization group analysis of directed percolation process: Towards multiloop calculation of scaling functions
Michal Hnatič, Matej Kecer, Tomáš Lučivjanský +1
In this work, we employ a field-theoretic renormalization group approach to study a paradigmatic model of directed percolation. We focus on the perturbative calculation of the equa…
Critical behavior of isotropic systems with strong dipole-dipole interaction from the functional renormalization group
Georgii Kalagov, Nikita Lebedev
We compute the critical exponents of three-dimensional magnets with strong dipole-dipole interactions using the functional renormalization group (FRG) within the local potential ap…
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…
Field-theoretic Analysis of Dynamic Isotropic Percolation: Three-loop Approximation
Michal Hnatič, Matej Kecer, Mikhail V. Kompaniets +3
The general epidemic process is a paradigmatic model in non-equilibrium statistical physics displaying a continuous phase transition between active and absorbing states.The dynamic…
Approximate calculation of functional integrals arising from the operator approach
Edik Ayryan, Ján Buša, Michal Hnatič +2
We apply the operator approach to a stochastic system belonging to a class of death-birth processes, which we introduce utilizing the master equation approach. By employing Doi- Pe…
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…