Showing 1 - 6 of 6
Phase transition and critical phenomenon are investigated in high-dimensional traffic flow numerically and analytically. The two-dimensional lattice traffic model is extended to the three- and d-dimensional traffic flows. It is shown that the phase transition among the freely moving phase, the...
Persistent link: https://www.econbiz.de/10010872159
We present the thermodynamic theory describing the phase transition and critical phenomenon in traffic flow. We derive the time-dependent Ginzburg–Landau (TDGL) equation through the modified Korteweg–de Vries (KdV) equation from the car following model, using the perturbation method. We find...
Persistent link: https://www.econbiz.de/10010872561
Continuum models of traffic are proposed to describe the jamming transition in traffic flow on a highway. They are the simplified versions of the hydrodynamic model of traffic. Two continuum models are presented: one is described by the partial differential equations and the other is the...
Persistent link: https://www.econbiz.de/10010872719
The traffic flow model with optimal velocity is extended to take into account the velocity-dependent sensitivity. The dependence of the jamming transition upon the sensitivity is investigated in the extended optimal velocity model. The phase transition among the freely moving phase, the...
Persistent link: https://www.econbiz.de/10010599430
The two lattice models are presented to simulate the traffic flow on a two-lane highway. They are the lattice versions of the hydrodynamic model of traffic: the one (model A) is described by the differential-difference equation where time is a continuous variable and space is a discrete...
Persistent link: https://www.econbiz.de/10010664876
A power-law model of traffic is proposed to extend the optimal velocity model of traffic. The phase transition and critical phenomenon are investigated by computer simulation. It is shown that the phase transition among the freely moving phase, the coexisting phase, and the homogeneous congested...
Persistent link: https://www.econbiz.de/10011060332