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Teoreticheskaya i Matematicheskaya Fizika, 2017, Volume 190, Number 3, Pages 377–390
DOI: https://doi.org/10.4213/tmf9115 (Mi tmf9115) 		 
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
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DOI: https://doi.org/10.4213/tmf9115
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 (ε,y,η). 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.
Funding agency Grant number
Ministerstvo Školstva, Vedy, Výskumu a Športu Slovenskej Republiky 1/0345/17
Saint Petersburg State University 11.38.185.2014
Russian Foundation for Basic Research 16-32-00086
This research was supported by the Ministry of Education, Science, Research, and Sport of the Slovak Republic (VEGA Grant No. 1/0345/17).
The research of N. V. Antonov was supported by St. Petersburg State University (Research Grant No. 11.38.185.2014).
The research of A. S. Kapustin was supported by St. Petersburg State University (Research Grant No. 11.38.185.2014) and the Russian Foundation for Basic Research (Grant No. 16-32-00086).
Received: 09.12.2015
English version:
Theoretical and Mathematical Physics, 2017, Volume 190, Issue 3, Pages 323–334
DOI: https://doi.org/10.1134/S0040577917030023
Bibliographic databases:
Document Type: Article
Language: Russian
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
Citation in format AMSBIB
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\paper Directed-bond percolation subjected to synthetic compressible velocity fluctuations: Renormalization group approach
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  • https://www.mathnet.ru/eng/tmf/v190/i3/p377
    • This publication is cited in the following 1 articles:
    1. Antonov N.V., Hnatich M., Kapustin A.S., Lucivjansky T., Mizisin L., “Active-to-Absorbing Phase Transition Subjected to the Velocity Fluctuations in the Frozen Limit Case”, Phys. Part. Nuclei Lett., 14:6 (2017), 944–952  crossref  mathscinet  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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