Directed percolation with long-range interactions: Modeling nonequilibrium wetting.
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+a l(-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.
Ginelli
F
F
Institut für Theoretische Physik und Astrophysik, University of Würzburg, D-97974 Würzburg, Germany.
Hinrichsen
H
H
Livi
R
R
Mukamel
D
D
Politi
A
A