Self-organizing of stochastic traffic flows under influence of phase transitions induced by noise
Matematičeskoe modelirovanie, Tome 27 (2015) no. 11, pp. 120-134

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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, Fokker–Plank equation, noise-induced transitions.
Mots-clés : multiplicative noise
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     author = {A. V. Kolesnichenko},
     title = {Self-organizing of stochastic traffic flows under influence of phase transitions induced by noise},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {120--134},
     publisher = {mathdoc},
     volume = {27},
     number = {11},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2015_27_11_a9/}
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A. V. Kolesnichenko. Self-organizing of stochastic traffic flows under influence of phase transitions induced by noise. Matematičeskoe modelirovanie, Tome 27 (2015) no. 11, pp. 120-134. http://geodesic.mathdoc.fr/item/MM_2015_27_11_a9/