20 citations · 33 across the 7 of their papers we have counts for
7 papers
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…
Advection by Compressible Turbulent Flows: Renormalization Group Study of Vector and Tracer Admixture
N. V. Antonov, N. M. Gulitskiy, M. M. Kostenko +1
Advection-diffusion problems of magnetic field and tracer field are analyzed using the field theoretic perturbative renormalization group. Both advected fields are considered to be…
Stochastic Navier-Stokes equation and advection of a tracer field: One-loop renormalization near
N. V. Antonov, N. M. Gulitskiy, M. M. Kostenko +1
The renormalization group approach and the operator product expansion technique are applied to the model of a tracer field advected by the Navier-Stokes velocity ensemble for a com…
Tricritical behaviour of the frustrated Ising antiferromagnet on the honeycomb lattice
A. Bobák, T. Lučivjanský, M. Žukovič +2
We use the effective-field theory with correlations based on different cluster sizes to investigate phase diagrams of the frustrated Ising antiferromagnet on the honeycomb lattice…
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…
Numerical calculation of scaling exponents of percolation process in the framework of renormalization group approach
L. Ts. Adzhemyan, M. Hnatič, M. Kompaniets +2
We use the renormalization group theory to study the directed bond percolation (Gribov process) near its second-order phase transition between absorbing and active state. We presen…
Critical Behaviour Of Directed Percolation In The Presence Of Synthetic Velocity Field
M. Hnatič, T. Lučivjanský
Using perturbative renormalization group we study the influence of random velocity field on the critical behaviour of directed bond percolation process near its second-order phase…