Self-organizing of stochastic traffic flows under influence of phase transitions induced by noise
A. V. Kolesnichenko
Keldysh Institute of Applied Mathematics RAS
The collective behaviour of stochastic traffic system of a city or its large region is investigated. It is shown in self-organising of the synchronised motion of the active particles (cars) taking place on principles of phase transitions. Thus spontaneous process of self-organising of chaotic traffic flows (providing a diversion from an optimum mode of a motion) occurs under the influence of any the correlated noise which are caused by influence on traffic conditions of cars of various random factors. Stationary states of a spatially homogeneous traffic flows in the presence of noise of the driving parametre are analysed.
traffic flows, stochastic processes, self-organising, multiplicative noise, Fokker–Plank equation, noise-induced transitions.
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A. V. Kolesnichenko, “Self-organizing of stochastic traffic flows under influence of phase transitions induced by noise”, Matem. Mod., 27:11 (2015), 120–134
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\paper Self-organizing of stochastic traffic flows under influence of phase transitions induced by noise
\jour Matem. Mod.
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