{ "id": "cond-mat/9806249", "version": "v2", "published": "1998-06-21T10:54:55.000Z", "updated": "1998-11-11T18:27:44.000Z", "title": "Driving, conservation and absorbing states in sandpiles", "authors": [ "Alessandro Vespignani", "Ronald Dickman", "Miguel A. Munoz", "Stefano Zapperi" ], "comment": "12 pages, 2 figures; revised version with substantial changes and improvements", "doi": "10.1103/PhysRevLett.81.5676", "categories": [ "cond-mat.stat-mech" ], "abstract": "We use a phenomenological field theory, reflecting the symmetries and conservation laws of sandpiles, to compare the driven dissipative sandpile, widely studied in the context of self-organized criticality, with the corresponding fixed-energy model. The latter displays an absorbing-state phase transition with upper critical dimension $d_c=4$. We show that the driven model exhibits a fundamentally different approach to the critical point, and compute a subset of critical exponents. We present numerical simulations in support of our theoretical predictions.", "revisions": [ { "version": "v2", "updated": "1998-11-11T18:27:44.000Z" } ], "analyses": { "keywords": [ "absorbing states", "absorbing-state phase transition", "corresponding fixed-energy model", "conservation laws", "phenomenological field theory" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. Lett." }, "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable" } } }