Speaker
Mr
Matej Kecer
(Institute of Physics, Faculty of Science, P. J. Šafárik University, Park Angelinum 9, 040 01 Košice, Slovakia)
Description
We investigate the anomalous kinetics of two-species reaction-diffusion system $A+A \rightarrow (\emptyset, A)$, $A+B \rightarrow A$ near its upper critical dimension $d_c = 2$. In particular, we analyze an advection of reactants by random velocity field generated by the stochastically forced Navier-Stokes equation. The model is analysed by means of field-theoretic renormalization group (RG) and two-parameter $(\epsilon, \Delta)$ expansion. Here $\epsilon$ denotes deviation from Kolmogorov scaling and $\Delta$ is deviation from space dimension $d = 2$. The RG analysis is performed to leading order in perturbation scheme and all stable macroscopic regimes are identified.
Primary authors
Mr
Matej Kecer
(Institute of Physics, Faculty of Science, P. J. Šafárik University, Park Angelinum 9, 040 01 Košice, Slovakia)
Prof.
Michal Hnatič
(Institute of Physics, Faculty of Science, P. J. Šafárik University, Park Angelinum 9, 040 01 Košice, Slovakia; Institute of Experimental Physics, Slovak Academy of Sciences, Watsonova 47, 040 01 Košice, Slovakia)
Dr
Tomáš Lučivjanský
(Institute of Physics, Faculty of Science, P. J. Šafárik University, Park Angelinum 9, 040 01 Košice, Slovakia)
