20 citations · 155 across the 31 of their papers we have counts for
9 papers · 1 filter
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…