20 citations · 155 across the 31 of their papers we have counts for
31 papers
Two-Loop Turbulent Helical Magnetohydrodynamics: Large-Scale Dynamo and Energy Spectrum
Michal Hnatič, Tomáš Lučivjanský, Lukáš Mižišin +2
We present a two-loop field-theoretic analysis of incompressible helical magnetohydrodynamics (MHD) in fully developed stationary turbulence. A key feature of helical MHD is the ap…
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…
Anomalous Kinetics of a Multi-Species Reaction-Diffusion System: Effect of Random Velocity Fluctuations
Michal Hnatič, Matej Kecer, Tomáš Lučivjanský
Reaction-diffusion systems, which consist of the reacting particles subject to diffusion process, constitute one of the common examples of non-linear statistical systems. In low sp…
Field-theoretic analysis of directed percolation: Three-loop approximation
Loran Ts. Adzhemyan, Michal Hnatič, Ella V. Ivanova +3
The directed bond percolation is a paradigmatic model in nonequilibrium statistical physics. It captures essential physical information on the nature of continuous phase transition…
Composite operators of stochastic model A
D. Davletbaeva, M. Hnatič, M. V. Komarova +3
By means of the field-theoretic renormalization group, we study the damping of the viscosity coefficient near the superfluid phase transition. We utilize the fact that in the infra…
Two-species reaction-diffusion system in the presence of random velocity fluctuations
Michal Hnatič, Matej Kecer, Tomáš Lučivjanský
We study random velocity effects on a two-species reaction-diffusion system consisting of three reaction processes . Using the…
Renormalization group study of superfluid phase transition: effect of compressibility
Michal Dančo, Michal Hnatič, Tomáš Lučivjanský +1
Dynamic critical behavior in superfluid systems is considered in a presence of external stirring and advecting processes. The latter are generated by means of the Gaussian random v…
Universality in Incompressible Active Fluid: Effect of Non-local Shear Stress
Viktor Skultety, Sarlota Birnsteinova, Tomas Lucivjansky +1
Phase transitions in active fluids attracted significant attention within the last decades. Recent results show [L. Chen et al., New J. Phys. 17, 042002 (2015)] that an order-disor…
Passive advection of percolation process: Two-loop approximation
Š. Birnšteinová, M. Hnatič, T. Lučivjanský +2
The paradigmatic model of the directed percolation process is studied near its second order phase transition between an absorbing and an active state. The model is first expressed…
Stochastic Navier-Stokes equation for a compressible fluid: two-loop approximation
M. Hnatič, N. M. Gulitskiy, T. Lučivjanský +2
A model of fully developed turbulence of a compressible fluid is briefly reviewed. It is assumed that fluid dynamics is governed by a stochastic version of Navier-Stokes equation.…
Scaling behavior in interacting systems: joint effect of anisotropy and compressibility
M. Hnatič, G. Kalagov, T. Lučivjanský
Motivated by the ubiquity of turbulent flows in realistic conditions, effects of turbulent advection on two models of classical non-linear systems are investigated. In particular,…
Influence of turbulent mixing on critical behavior of directed percolation process : effect of compressibility
J. Honkonen, T. Lučivjanský, V. Škultéty
Universal behavior is a typical emergent feature of critical systems. A paramount model of the non-equilibrium critical behavior is the directed bond percolation process that exhib…
Advanced field-theoretical methods in stochastic dynamics and theory of developed turbulence
Michal Hnatič, Juha Honkonen, Tomáš Lučivjanský
Selected recent contributions involving fluctuating velocity fields to the rapidly developing domain of stochastic field theory are reviewed. Functional representations for solutio…
Advection of a passive scalar field by turbulent compressible fluid: renormalization group analysis near
N. V. Antonov, N. M. Gulitskiy, M. M. Kostenko +1
The field theoretic renormalization group (RG) and the operator product expansion (OPE) are applied to the model of a density field advected by a random turbulent velocity field. T…
Renormalization group analysis of a turbulent compressible fluid near : Crossover between local and non-local scaling regimes
N. V. Antonov, N. M. Gulitskiy, M. M. Kostenko +1
We study scaling properties of the model of fully developed turbulence for a compressible fluid, based on the stochastic Navier-Stokes equation, by means of the field theoretic ren…
Turbulent compressible fluid: renormalization group analysis, scaling regimes, and anomalous scaling of advected scalar fields
N. V. Antonov, N. M. Gulitskiy, M. M. Kostenko +1
We study a model of fully developed turbulence of a compressible fluid, based on the stochastic Navier-Stokes equation, by means of the field theoretic renormalization group. In th…
Renormalization group calculation of dynamic exponent in the models E and F with hydrodynamic fluctuations
M. Dančo, M. Hnatič, M. V. Komarova +2
The renormalization group method is applied in order to analyze models E and F of critical dynamics in the presence of velocity fluctuations generated by the stochastic Navier-Stok…
Influence of Hydrodynamic Fluctuations on the Phase Transition in Models E and F of Critical Dynamics
M. Dančo, M. Hnatich, M. V. Komarova +4
We use the renormalization group method to study model E of critical dynamics in the presence of velocity fluctuations arising in accordance with the stochastic Navier-Stokes equat…
Active-to-absorbing phase transition subjected to the velocity fluctuations in the frozen limit case
N. V. Antonov, M. Hnatich, A. S. Kapustin +2
The directed bond percolation process is studied in the presence of com- pressible velocity fluctuations with long-range correlations. We discuss a construction of a field theoreti…
Numerical Solution of a Nonlinear Integro-Differential Equation
J. Buša, M. Hnatič, J. Honkonen +1
An algorithm for the numerical solution of a nonlinear integro-differential equation arising in the single-species annihilation reaction modeling is…
Directed percolation process in the presence of velocity fluctuations: Effect of compressibility and finite correlation time
N. V. Antonov, M. Hnatič, A. S. Kapustin +2
The direct bond percolation process (Gribov process) is studied in the presence of random velocity fluctuations generated by the Gaussian self-similar ensemble with finite correlat…
Directed percolation process advected by the compressible flow
T. Lučivjanský, N. V. Antonov, M. Hnatič +2
It will be shown how the directed percolation process in the presence of compressible velocity fluctuations could be formulated within the means of field-theoretic formalism, which…
Two-loop calculation of anomalous kinetics of the reaction in randomly stirred fluid
Michal Hnatič, Juha Honkonen, Tomáš Lučivjanský
The single-species annihilation reaction is studied in the presence of a random velocity field generated by the stochastic Navier-Stokes equation. Th…