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

N. V. Antonov, M. Hnatič, A. S. Kapustin, T. Lučivjanský, L. MiŽišin

Результат исследований: Научные публикации в периодических изданияхстатьярецензирование

8 Цитирования (Scopus)

Аннотация

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.

Язык оригиналаанглийский
Номер статьи012151
ЖурналPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Том93
Номер выпуска1
DOI
СостояниеОпубликовано - 29 янв 2016

Предметные области Scopus

  • Статистическая и нелинейная физика
  • Теория вероятности и статистика
  • Физика конденсатов

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