{ "id": "cond-mat/0407635", "version": "v2", "published": "2004-07-23T16:24:15.000Z", "updated": "2004-12-10T17:03:25.000Z", "title": "Directed Percolation with long-range interactions: modeling non-equilibrium wetting", "authors": [ "F. Ginelli", "H. Hinrichsen", "R. Livi", "D. Mukamel", "A. Politi" ], "comment": "12 Figures. V Version resubmitted to Phys. Rev. E after referees report", "journal": "Phys. Rev. E 71, 026121 (2005)", "doi": "10.1103/PhysRevE.71.026121", "categories": [ "cond-mat.stat-mech" ], "abstract": "It is argued that some phase--transitions observed in models of non-equilibrium 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 $\\ell$ is $1+a\\ell^{-\\sigma}$. 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 non--equilibrium wetting.", "revisions": [ { "version": "v2", "updated": "2004-12-10T17:03:25.000Z" } ], "analyses": { "keywords": [ "long-range interactions", "modeling non-equilibrium wetting", "directed percolation", "contact processes", "activation rate" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. E" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }