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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2015 Volume 27, Number 11, Pages 120–134 (Mi mm3673)

This article is cited in 1 paper

Self-organizing of stochastic traffic flows under influence of phase transitions induced by noise

A. V. Kolesnichenko

Keldysh Institute of Applied Mathematics RAS

Abstract: 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.

Keywords: traffic flows, stochastic processes, self-organising, multiplicative noise, Fokker–Plank equation, noise-induced transitions.

Received: 19.08.2014



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