Directed percolation process in the presence of velocity fluctuations

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Directed percolation process in the presence of velocity fluctuations : Effect of compressibility and finite correlation time. / Antonov, N. V.; Hnatič, M.; Kapustin, A. S.; Lučivjanský, T.; MiŽišin, L.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 93, No. 1, 012151, 29.01.2016.

Research output: Contribution to journal › Article › peer-review

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@article{7ebc5e2ce5cd442f986412d3df594280,

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 (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.",

author = "Antonov, {N. V.} and M. Hnati{\v c} and Kapustin, {A. S.} and T. Lu{\v c}ivjansk{\'y} and L. Mi{\v Z}i{\v s}in",

year = "2016",

month = jan,

day = "29",

doi = "10.1103/PhysRevE.93.012151",

language = "English",

volume = "93",

journal = "Physical Review E",

issn = "1539-3755",

publisher = "American Physical Society",

number = "1",

}

RIS

TY - JOUR

T1 - Directed percolation process in the presence of velocity fluctuations

T2 - Effect of compressibility and finite correlation time

AU - Antonov, N. V.

AU - Hnatič, M.

AU - Kapustin, A. S.

AU - Lučivjanský, T.

AU - MiŽišin, L.

PY - 2016/1/29

Y1 - 2016/1/29

N2 - 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 (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.

AB - 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 (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.

UR - http://www.scopus.com/inward/record.url?scp=84957554575&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.93.012151

DO - 10.1103/PhysRevE.93.012151

M3 - Article

VL - 93

JO - Physical Review E

JF - Physical Review E

SN - 1539-3755

IS - 1

M1 - 012151

ER -

ID: 7552831

Directed percolation process in the presence of velocity fluctuations: Effect of compressibility and finite correlation time

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