{ "id": "cond-mat/9910454", "version": "v2", "published": "1999-10-27T15:55:50.000Z", "updated": "2000-05-25T13:53:43.000Z", "title": "Paths to Self-Organized Criticality", "authors": [ "Ronald Dickman", "Miguel A. Munoz", "Alessandro Vespignani", "Stefano Zapperi" ], "comment": "23 pages + 2 figures", "journal": "Brazilian Journal of Physics 30, 27 (2000)", "categories": [ "cond-mat.stat-mech" ], "abstract": "We present a pedagogical introduction to self-organized criticality (SOC), unraveling its connections with nonequilibrium phase transitions. There are several paths from a conventional critical point to SOC. They begin with an absorbing-state phase transition (directed percolation is a familiar example), and impose supervision or driving on the system; two commonly used methods are extremal dynamics, and driving at a rate approaching zero. We illustrate this in sandpiles, where SOC is a consequence of slow driving in a system exhibiting an absorbing-state phase transition with a conserved density. Other paths to SOC, in driven interfaces, the Bak-Sneppen model, and self-organized directed percolation, are also examined. We review the status of experimental realizations of SOC in light of these observations.", "revisions": [ { "version": "v2", "updated": "2000-05-25T13:53:43.000Z" } ], "analyses": { "keywords": [ "self-organized criticality", "absorbing-state phase transition", "nonequilibrium phase transitions", "directed percolation", "familiar example" ], "tags": [ "journal article" ], "publication": { "doi": "10.1590/S0103-97332000000100004", "journal": "Brazilian Journal of Physics", "year": 2000, "month": "Mar", "volume": 30, "number": 1, "pages": 27 }, "note": { "typesetting": "TeX", "pages": 23, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2000BrJPh..30...27D" } } }