{ "id": "cond-mat/0012416", "version": "v2", "published": "2000-12-21T17:33:27.000Z", "updated": "2001-10-19T12:35:08.000Z", "title": "On random graphs and the statistical mechanics of granular matter", "authors": [ "Johannes Berg", "Anita Mehta" ], "comment": "minor changes, to appear in EPL", "journal": "Europhys. Lett. 56 (6), 784-790 (2001)", "doi": "10.1209/epl/i2001-00588-3", "categories": [ "cond-mat.stat-mech" ], "abstract": "The dynamics of spins on a random graph with ferromagnetic three-spin interactions is used to model the compaction of granular matter under a series of taps. Taps are modelled as the random flipping of a small fraction of the spins followed by a quench at zero temperature. We find that the density approached during a logarithmically slow compaction - the random-close-packing density - corresponds to a dynamical phase transition. We discuss the the role of cascades of successive spin-flips in this model and link them with density-noise power fluctuations observed in recent experiments.", "revisions": [ { "version": "v2", "updated": "2001-10-19T12:35:08.000Z" } ], "analyses": { "keywords": [ "random graph", "granular matter", "statistical mechanics", "density-noise power fluctuations", "ferromagnetic three-spin interactions" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }