Dresden 2003 – scientific programme
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AKSOE: Physik sozio-ökonomischer Systeme
AKSOE 3: Postersitzung
AKSOE 3.14: Poster
Monday, March 24, 2003, 15:45–17:15, P1
Applications to Traffic Breakdown on Highways — •Reinhard Mahnke1, Aliaksei Konash2, and Julia Tolmacheva3 — 1FB Physik, Univ. Rostock, 18051 Rostock — 2Inst. Physics, Nat. Acad. Sci., 220072 Minsk, Belarus — 3Res. Inst., Nat. Acad. Sci., 61001 Kharkov, Ukraine
We consider a traffic flow car–following model (proposed by Bando et al. and known as optimal velocity model OVM) where N cars are moving along a circular road of length L. We observe jump–like phase transitions in the coexistence region from small to large densities.
Based on subcritical and supercritical bifurcation diagrams we investigate power–like singularities to calculate critical exponents.
The critical behaviour in the OVM follow–the–leader traffic model described by power laws and critical exponents is a common feature of phase transformations.
[1] Bando et al., Phys. Rev. E 51, 1035 (1995)