Directed percolation with long-range interactions: Modeling nonequilibrium wetting

F Ginelli, H Hinrichsen, R Livi, D Mukamel, A Politi

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

It is argued that some phase transitions observed in models of nonequilibrium wetting phenomena are related to contact processes with long-range interactions. This is investigated by introducing a model where the activation rate of a site at the edge of an inactive island of length l is 1+al(-sigma). Mean-field analysis and numerical simulations indicate that for sigma>1 the transition is continuous and belongs to the universality class of directed percolation, while for 0 <sigma < 1, the transition becomes first order. This criterion is then applied to discuss critical properties of various models of nonequilibrium wetting.

Original languageEnglish
Article number026121
Pages (from-to)-
Number of pages11
JournalPhysical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume71
Issue number2
DOIs
Publication statusPublished - Feb 2005

Keywords

  • PHASE-TRANSITIONS
  • GROWTH-PROCESS
  • DIMENSIONS
  • CLUSTERS
  • LATTICE

Cite this

Directed percolation with long-range interactions: Modeling nonequilibrium wetting. / Ginelli, F ; Hinrichsen, H ; Livi, R ; Mukamel, D ; Politi, A .

In: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 71, No. 2, 026121, 02.2005, p. -.

Research output: Contribution to journalArticle

@article{df941560e884455480f676532f27e1a6,
title = "Directed percolation with long-range interactions: Modeling nonequilibrium wetting",
abstract = "It is argued that some phase transitions observed in models of nonequilibrium wetting phenomena are related to contact processes with long-range interactions. This is investigated by introducing a model where the activation rate of a site at the edge of an inactive island of length l is 1+al(-sigma). Mean-field analysis and numerical simulations indicate that for sigma>1 the transition is continuous and belongs to the universality class of directed percolation, while for 0",
keywords = "PHASE-TRANSITIONS, GROWTH-PROCESS, DIMENSIONS, CLUSTERS, LATTICE",
author = "F Ginelli and H Hinrichsen and R Livi and D Mukamel and A Politi",
year = "2005",
month = "2",
doi = "10.1103/PhysRevE.71.026121",
language = "English",
volume = "71",
pages = "--",
journal = "Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics",
issn = "1063-651X",
publisher = "American Physical Society",
number = "2",

}

TY - JOUR

T1 - Directed percolation with long-range interactions: Modeling nonequilibrium wetting

AU - Ginelli, F

AU - Hinrichsen, H

AU - Livi, R

AU - Mukamel, D

AU - Politi, A

PY - 2005/2

Y1 - 2005/2

N2 - It is argued that some phase transitions observed in models of nonequilibrium wetting phenomena are related to contact processes with long-range interactions. This is investigated by introducing a model where the activation rate of a site at the edge of an inactive island of length l is 1+al(-sigma). Mean-field analysis and numerical simulations indicate that for sigma>1 the transition is continuous and belongs to the universality class of directed percolation, while for 0

AB - It is argued that some phase transitions observed in models of nonequilibrium wetting phenomena are related to contact processes with long-range interactions. This is investigated by introducing a model where the activation rate of a site at the edge of an inactive island of length l is 1+al(-sigma). Mean-field analysis and numerical simulations indicate that for sigma>1 the transition is continuous and belongs to the universality class of directed percolation, while for 0

KW - PHASE-TRANSITIONS

KW - GROWTH-PROCESS

KW - DIMENSIONS

KW - CLUSTERS

KW - LATTICE

U2 - 10.1103/PhysRevE.71.026121

DO - 10.1103/PhysRevE.71.026121

M3 - Article

VL - 71

SP - -

JO - Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

JF - Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

SN - 1063-651X

IS - 2

M1 - 026121

ER -