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This article is cited in 1 scientific paper (total in 1 paper)
Directed-bond percolation subjected to synthetic compressible velocity fluctuations: Renormalization group approach
N. V. Antonova, M. Gnatichbcd, A. S. Kapustina, T. Lučivjanskýce, L. Mižišinc a St. Petersburg State University, St. Petersburg, Russia
b Institute of Experimental Physics, Slovak Academy of Sciences, Košice, Slovakia
c Pavol Jozef Šafárik University in Košice, Košice, Slovakia
d Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia
e University of Duisburg-Essen, Essen, Germany
Abstract:
We study the directed-bond percolation process (sometimes called the Gribov process because it formally resembles Reggeon field theory) in the presence of irrotational velocity fluctuations with long-range correlations. We use the renormalization group method to investigate the phase transition between an active and an absorbing state. All calculations are in the one-loop approximation. We calculate stable fixed points of the renormalization group and their regions of stability in the form of expansions in three parameters $(\varepsilon,y,\eta)$. We consider different regimes corresponding to the Kraichnan rapid-change model and a frozen velocity field.
Keywords:
nonequilibrium critical behaviour, Gribov process, percolation,
renormalization group.
Received: 09.12.2015
Citation:
N. V. Antonov, M. Gnatich, A. S. Kapustin, T. Lučivjanský, L. Mižišin, “Directed-bond percolation subjected to synthetic compressible velocity fluctuations: Renormalization group approach”, TMF, 190:3 (2017), 377–390; Theoret. and Math. Phys., 190:3 (2017), 323–334
Linking options:
https://www.mathnet.ru/eng/tmf9115https://doi.org/10.4213/tmf9115 https://www.mathnet.ru/eng/tmf/v190/i3/p377
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Abstract page: | 335 | Full-text PDF : | 106 | References: | 106 | First page: | 23 |
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