Fokker-Planck equation approach to vehicle statistics

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dc.creatorHelbing, Dirk
dc.creatorTreiber, Martin
dc.date2003-07-09
dc.date.accessioned2026-07-07T02:52:16Z
dc.date.available2026-07-07T02:52:16Z
dc.descriptionThis contribution presents a derivation of the steady-state distribution of velocities and distances of vehicles in freeway traffic which has been suggested for the evaluation of interaction potentials among vehicles (see preprint cond-mat/0301484). Despite the forwardly directed interactions and the additional driving terms in vehicle traffic, the steady-state velocity and distance distributions agree with the equilibrium distributions of classical many-particle systems with symmetrical interactions, if the system is large enough. Finally, this analytical result is confirmed by computer simulations.
dc.descriptionThis is a supplement to preprint cond-mat/0301484. For related work see http://www.helbing.org and http://www.mtreiber.de
dc.identifierhttps://arxiv.org/abs/cond-mat/0307219
dc.identifierhttp://arxiv.org/abs/cond-mat/0307219
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/21779
dc.subjectStatistical Mechanics
dc.titleFokker-Planck equation approach to vehicle statistics
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