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Fokker-Planck equation approach to vehicle statistics | | Dirk Helbing
; Martin Treiber
; | | Date: |
9 Jul 2003 | | Subject: | Statistical Mechanics | cond-mat.stat-mech | | Abstract: | This 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. | | Source: | arXiv, cond-mat/0307219 | | Services: | Forum | Review | PDF | Favorites | |
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