{ "id": "0711.4571", "version": "v1", "published": "2007-11-28T19:58:18.000Z", "updated": "2007-11-28T19:58:18.000Z", "title": "E-pile model of self-organized criticality", "authors": [ "A. V. Milovanov", "K. Rypdal", "J. J. Rasmussen" ], "comment": "4 pages, 2 figures", "categories": [ "cond-mat.stat-mech" ], "abstract": "The concept of percolation is combined with a self-consistent treatment of the interaction between the dynamics on a lattice and the external drive. Such a treatment can provide a mechanism by which the system evolves to criticality without fine tuning, thus offering a route to self-organized criticality (SOC) which in many cases is more natural than the weak random drive combined with boundary loss/dissipation as used in standard sand-pile formulations. We introduce a new metaphor, the e-pile model, and a formalism for electric conduction in random media to compute critical exponents for such a system. Variations of the model apply to a number of other physical problems, such as electric plasma discharges, dielectric relaxation, and the dynamics of the Earth's magnetotail.", "revisions": [ { "version": "v1", "updated": "2007-11-28T19:58:18.000Z" } ], "analyses": { "keywords": [ "self-organized criticality", "e-pile model", "electric plasma discharges", "dielectric relaxation", "self-consistent treatment" ], "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0711.4571M" } } }