Geodesic
Directed-bond percolation subjected to synthetic compressible velocity fluctuations: Renormalization group approach
Teoretičeskaâ i matematičeskaâ fizika, Tome 190 (2017) no. 3, pp. 377-390

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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. 
@article{TMF_2017_190_3_a0,
     author = {N. V. Antonov and M. Gnatich and A. S. Kapustin and T. Lu\v{c}ivjansk\'y and L. Mi\v{z}i\v{s}in},
     title = {Directed-bond percolation subjected to synthetic compressible velocity fluctuations: {Renormalization} group approach},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {377--390},
     publisher = {mathdoc},
     volume = {190},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2017_190_3_a0/}
}
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N. V. Antonov; M. Gnatich; A. S. Kapustin; T. Lučivjanský; L. Mižišin. Directed-bond percolation subjected to synthetic compressible velocity fluctuations: Renormalization group approach. Teoretičeskaâ i matematičeskaâ fizika, Tome 190 (2017) no. 3, pp. 377-390. http://geodesic.mathdoc.fr/item/TMF_2017_190_3_a0/