Directed-bond percolation subjected to synthetic compressible velocity fluctuations

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Directed-bond percolation subjected to synthetic compressible velocity fluctuations : Renormalization group approach. / Antonov, N. V.; Hnatich, M.; Kapustin, A. S.; Lučivjanský, T.; Mižišin, L.

In: Theoretical and Mathematical Physics(Russian Federation), Vol. 190, No. 3, 01.03.2017, p. 323-334.

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

Author

Antonov, N. V. ; Hnatich, M. ; Kapustin, A. S. ; Lučivjanský, T. ; Mižišin, L. / Directed-bond percolation subjected to synthetic compressible velocity fluctuations : Renormalization group approach. In: Theoretical and Mathematical Physics(Russian Federation). 2017 ; Vol. 190, No. 3. pp. 323-334.

BibTeX

@article{0adcbdb478f14d3692ba08d098427810,

title = "Directed-bond percolation subjected to synthetic compressible velocity fluctuations: Renormalization group approach",

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 = "Gribov process, nonequilibrium critical behaviour, percolation, renormalization group",

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

note = "Publisher Copyright: {\textcopyright} 2017, Pleiades Publishing, Ltd.",

year = "2017",

month = mar,

day = "1",

doi = "10.1134/S0040577917030023",

language = "English",

volume = "190",

pages = "323--334",

journal = "Theoretical and Mathematical Physics",

issn = "0040-5779",

publisher = "Springer Nature",

number = "3",

}

RIS

TY - JOUR

T1 - Directed-bond percolation subjected to synthetic compressible velocity fluctuations

T2 - Renormalization group approach

AU - Antonov, N. V.

AU - Hnatich, M.

AU - Kapustin, A. S.

AU - Lučivjanský, T.

AU - Mižišin, L.

PY - 2017/3/1

Y1 - 2017/3/1

N2 - 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.

AB - 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.

KW - Gribov process

KW - nonequilibrium critical behaviour

KW - percolation

KW - renormalization group

UR - http://www.scopus.com/inward/record.url?scp=85016806070&partnerID=8YFLogxK

U2 - 10.1134/S0040577917030023

DO - 10.1134/S0040577917030023

M3 - Article

AN - SCOPUS:85016806070

VL - 190

SP - 323

EP - 334

JO - Theoretical and Mathematical Physics

JF - Theoretical and Mathematical Physics

SN - 0040-5779

IS - 3

ER -

ID: 97810034