title: Directed percolation process in the presence of velocity fluctuations: Effect of compressibility and finite correlation time.
abstract: 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 correlation time. We employ the renormalization group in order to analyze a combined effect of the compressibility and finite correlation time on the long-time behavior of the phase transition between an active and an absorbing state. The renormalization procedure is performed to the one-loop order. Stable fixed points of the renormalization group and their regions of stability are calculated in the one-loop approximation within the three-parameter (ɛ,y,η) expansion. Different regimes corresponding to the rapid-change limit and frozen velocity field are discussed, and their fixed points' structure is determined in numerical fashion.
authors: Department of Theoretical Physics, St. Petersburg University, Ulyanovskaya 1, St. Petersburg, Petrodvorets, 198504 Russia.
authors: N V
authors: NV
authors: Antonov
authors: Institute of Experimental Physics, SAS, 04001 Košice, Slovakia.|Faculty of Sciences, P.J. Šafarik University, 04154 Košice, Slovakia.|Bogoliubov Laboratory of Theoretical Physics, JINR, 141980 Dubna, Moscow Region, Russia.
authors: M
authors: M
authors: Hnatič
authors: Department of Theoretical Physics, St. Petersburg University, Ulyanovskaya 1, St. Petersburg, Petrodvorets, 198504 Russia.
authors: A S
authors: AS
authors: Kapustin
authors: Faculty of Sciences, P.J. Šafarik University, 04154 Košice, Slovakia.|Fakultät für Physik, Universität Duisburg-Essen, D-47048 Duisburg, Germany.
authors: T
authors: T
authors: Lučivjanský
authors: Faculty of Sciences, P.J. Šafarik University, 04154 Košice, Slovakia.
authors: L
authors: L
authors: Mižišin