{ "id": "cond-mat/0603375", "version": "v4", "published": "2006-03-14T13:15:04.000Z", "updated": "2007-04-11T11:23:23.000Z", "title": "Equilibrium distributions in thermodynamical traffic gas", "authors": [ "Milan Krbalek" ], "comment": "5 pages, 6 figures, changed content, added references", "journal": "J. Phys. A: Math. Theor. 40 (2007), 5813-5821", "doi": "10.1088/1751-8113/40/22/004", "categories": [ "cond-mat.stat-mech", "cond-mat.other" ], "abstract": "We derive the exact formula for thermal-equilibrium spacing distribution of one-dimensional particle gas with repulsive potential V(r)=r^(-a) (a>0) depending on the distance r between the neighboring particles. The calculated distribution (for a=1) is successfully compared with the highway-traffic clearance distributions, which provides a detailed view of changes in microscopical structure of traffic sample depending on traffic density. In addition to that, the observed correspondence is a strong support of studies applying the equilibrium statistical physics to traffic modelling.", "revisions": [ { "version": "v4", "updated": "2007-04-11T11:23:23.000Z" } ], "analyses": { "keywords": [ "thermodynamical traffic gas", "equilibrium distributions", "one-dimensional particle gas", "highway-traffic clearance distributions", "exact formula" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable" } } }