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Exact stationary state for a deterministic high-speed traffic model with open boundaries

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Date

2001

Authors

de Gier, J

Journal Title

Journal ISSN

Volume Title

Publisher

Institute of Physics Publishing

Abstract

An exact solution for a high-speed deterministic traffic model with open boundaries and synchronous update rule is presented. Due to the strong correlations in the model, the qualitative structure of the stationary state can be described for general values of the maximum speed. It is shown in the case of υmax = 2 that a detailed analysis of this structure leads to an exact solution. Explicit expressions for the stationary state probabilities are given in terms of products of 24 × 24 matrices. From this solution an exact expression for the correlation length is derived.

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Citation

URI

http://hdl.handle.net/1885/92827

Collections

ANU Research Publications

Source

Journal of Physics A: Mathematical and General

Type

Journal article

Book Title

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DOI

10.1088/0305-4470/34/18/301

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