Phase transition in a difference equation model of traffic flow

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چکیده

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Phase transition in a difference equation model of traffic flow

A difference equation is presented to describe traffic flow on a highway. The difference equation model is derived from the optimal velocity models formulated in terms of the differential equations. It is compared with the differential equation models. We investigate phase transitions among the freely moving phase, the coexisting phase in which jams appear, and the uniform congested phase. The ...

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ژورنال

عنوان ژورنال: Journal of Physics A: Mathematical and General

سال: 1998

ISSN: 0305-4470,1361-6447

DOI: 10.1088/0305-4470/31/24/005