{ "id": "cond-mat/0206525", "version": "v1", "published": "2002-06-26T17:55:55.000Z", "updated": "2002-06-26T17:55:55.000Z", "title": "Path-integral representation for a stochastic sandpile", "authors": [ "Ronald Dickman", "Ronaldo Vidigal" ], "comment": "22 pages, 6 figures", "doi": "10.1088/0305-4470/35/34/303", "categories": [ "cond-mat.stat-mech", "cond-mat.soft" ], "abstract": "We introduce an operator description for a stochastic sandpile model with a conserved particle density, and develop a path-integral representation for its evolution. The resulting (exact) expression for the effective action highlights certain interesting features of the model, for example, that it is nominally massless, and that the dynamics is via cooperative diffusion. Using the path-integral formalism, we construct a diagrammatic perturbation theory, yielding a series expansion for the activity density in powers of the time.", "revisions": [ { "version": "v1", "updated": "2002-06-26T17:55:55.000Z" } ], "analyses": { "keywords": [ "path-integral representation", "diagrammatic perturbation theory", "operator description", "series expansion", "stochastic sandpile model" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 22, "language": "en", "license": "arXiv", "status": "editable" } } }