{ "id": "cond-mat/0411505", "version": "v1", "published": "2004-11-19T11:01:23.000Z", "updated": "2004-11-19T11:01:23.000Z", "title": "Spectral gap of the totally asymmetric exclusion process at arbitrary filling", "authors": [ "O. Golinelli", "K. Mallick" ], "journal": "J. Phys. A: Math. Gen. 38 (2005) 1419-1425.", "doi": "10.1088/0305-4470/38/7/001", "categories": [ "cond-mat.stat-mech" ], "abstract": "We calculate the spectral gap of the Markov matrix of the totally asymmetric simple exclusion process (TASEP) on a ring of L sites with N particles. Our derivation is simple and self-contained and extends a previous calculation that was valid only for half-filling. We use a special property of the Bethe equations for TASEP to reformulate them as a one-body problem. Our method is closely related to the one used to derive exact large deviation functions of the TASEP.", "revisions": [ { "version": "v1", "updated": "2004-11-19T11:01:23.000Z" } ], "analyses": { "keywords": [ "totally asymmetric exclusion process", "spectral gap", "exact large deviation functions", "arbitrary filling", "totally asymmetric simple exclusion process" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }