14 citations · 36 across the 10 of their papers we have counts for
9 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…
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…
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…
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.…
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…
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…