{ "id": "cond-mat/0404075", "version": "v1", "published": "2004-04-03T12:20:52.000Z", "updated": "2004-04-03T12:20:52.000Z", "title": "Exclusion process for particles of arbitrary extension: Hydrodynamic limit and algebraic properties", "authors": [ "G. Schoenherr", "G. M. Schuetz" ], "categories": [ "cond-mat.stat-mech" ], "abstract": "The behaviour of extended particles with exclusion interaction on a one-dimensional lattice is investigated. The basic model is called $\\ell$-ASEP as a generalization of the asymmetric exclusion process (ASEP) to particles of arbitrary length $\\ell$. Stationary and dynamical properties of the $\\ell$-ASEP with periodic boundary conditions are derived in the hydrodynamic limit from microscopic properties of the underlying stochastic many-body system. In particular, the hydrodynamic equation for the local density evolution and the time-dependent diffusion constant of a tracer particle are calculated. As a fundamental algebraic property of the symmetric exclusion process (SEP) the SU(2)-symmetry is generalized to the case of extended particles.", "revisions": [ { "version": "v1", "updated": "2004-04-03T12:20:52.000Z" } ], "analyses": { "keywords": [ "hydrodynamic limit", "arbitrary extension", "asymmetric exclusion process", "time-dependent diffusion constant", "local density evolution" ], "publication": { "doi": "10.1088/0305-4470/37/34/002", "journal": "Journal of Physics A Mathematical General", "year": 2004, "month": "Aug", "volume": 37, "number": 34, "pages": 8215 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2004JPhA...37.8215S" } } }