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-σ . Mean-field analysis and numerical simulations indicate that for σ>1 the transition is continuous and belongs to the universality class of directed percolation, while for 0<σ<1 , the transition becomes first order. This criterion is then applied to discuss critical properties of various models of nonequilibrium wetting.
- Publication:
-
Physical Review E
- Pub Date:
- February 2005
- DOI:
- 10.1103/PhysRevE.71.026121
- arXiv:
- arXiv:cond-mat/0407635
- Bibcode:
- 2005PhRvE..71b6121G
- Keywords:
-
- 05.70.Ln;
- 61.30.Hn;
- Nonequilibrium and irreversible thermodynamics;
- Surface phenomena: alignment anchoring anchoring transitions surface-induced layering surface-induced ordering wetting prewetting transitions and wetting transitions;
- Condensed Matter - Statistical Mechanics
- E-Print:
- 12 Figures. V Version resubmitted to Phys. Rev. E after referees report