Analytical investigation of the boundary-triggered phase transition dynamics in a cellular automata model with a slow-to-start rule

doi:10.1088/1674-1056/21/10/100206

Abstract Previous studies suggest that there are three different jam phases in the cellular automata automaton model with a slow-to-start rule under open boundaries. In the present paper, the dynamics of each free-flow-jam phase transition is studied. By analysing the microscopic behaviour of the traffic flow, we obtain analytical results on the phase transition dynamics. Our results can describe the detailed time evolution of the system during phase transition, while they provide good approximation for the numerical simulation data. These findings can perfectly explain the microscopic mechanism and details of the boundary-triggered phase transition dynamics.

Keywords: traffic flow boundary-triggered phase transition cellular automata time evolution analytical solution

Received: 20 February 2012
Revised: 15 March 2012
Accepted manuscript online:

PACS:	02.50.-r	(Probability theory, stochastic processes, and statistics)
	05.40.-a	(Fluctuation phenomena, random processes, noise, and Brownian motion)
	45.70.-n	(Granular systems)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 70971094 and 50908155) and the Program for Changjiang Scholars and Innovative Research Team in University (PCSIRT).

Corresponding Authors: Jia Ning
E-mail: jianing.BLGT@gmail.com

Cite this article:

Jia Ning (贾宁), Ma Shou-Feng (马寿峰), Zhong Shi-Quan (钟石泉) Analytical investigation of the boundary-triggered phase transition dynamics in a cellular automata model with a slow-to-start rule 2012 Chin. Phys. B 21 100206

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Analytical investigation of the boundary-triggered phase transition dynamics in a cellular automata model with a slow-to-start rule

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