20 citations · 155 across the 31 of their papers we have counts for
7 papers · 1 filter
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…
Directed Percolation Process Advected by Compressible Velocity Field
N. V. Antonov, M. Hnatič, A. S. Kapustin +2
The directed percolation process in the vicinity of non-equilibrium phase transition is studied by the means of field theoretic methods. It will be assumed that percolation takes p…
Critical Behavior of Percolation Process Influenced by Random Velocity Field: One-Loop Approximation
M. Dančo, M. Hnatič, T. Lučivjanský +1
Using perturbative renormalization group we investigate the influence of random velocity field on the critical behavior of directed bond percolation process near its second-order p…
Effect of Compressibility on the Annihilation Process
Michal Hnatič, Juha Honkonen, Tomáš Lučivjanský
Annihilation processes, where the reacting particles are influenced by some external advective field, are one of the simplest examples of nonlinear statistical systems. This type o…
Field-theoretic technique for irreversible reaction processes
Michal Hnatič, Juha Honkonen, Tomáš Lučivjanský
The single-species annihilation reaction A+A->0 is studied in the presence of random advecting field. In order to determine possible infrared behavior of the system all stable fixe…
Study of Anomalous Kinetics of The Annihilation Reaction A+A->0
M. Hnatich, J. Honkonen, T. Lučivjanský
Using the perturbative renormalization group, we study the influence of a random velocity field on the kinetics of the single-species annihilation reaction A+A->0 at and below its…