32 citations · 94 across the 9 of their papers we have counts for
9 papers
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…
Gribov process advected by the synthetic compressible velocity ensemble: Renormalization Group Approach
N. V. Antonov, M. Hnatich, A. S. Kapustin +2
The direct bond percolation process (Gribov process) is studied in the presence of irrotational velocity fluctuations with long-range correlations. The perturbative renormalization…
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…
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 behaviour of the randomly stirred dynamical Potts model: Novel universality class and effects of compressibility
N. V. Antonov, A. S. Kapustin
Critical behaviour of a nearly critical system, subjected to vivid turbulent mixing, is studied by means of the field theoretic renormalization group. Namely, relaxational stochast…
Effects of turbulent transfer on the critical behaviour
N. V. Antonov, A. S. Kapustin, A. V. Malyshev
Critical behaviour of two systems, subjected to the turbulent mixing, is studied by means of the field theoretic renormalization group. The first system, described by the equilibri…
Effects of turbulent mixing on critical behaviour in the presence of compressibility: Renormalization group analysis of two models
N. V. Antonov, A. S. Kapustin
Critical behaviour of two systems, subjected to the turbulent mixing, is studied by means of the field theoretic renormalization group. The first system, described by the equilibri…
Effects of turbulent mixing on the nonequilibrium critical behaviour
N. V. Antonov, V. I. Iglovikov, A. S. Kapustin
We study effects of turbulent mixing on the critical behaviour of a nonequilibrium system near its second-order phase transition between the absorbing and fluctuating states. The m…