Jan de Gier 2001 J. Phys. A: Math. Gen. 34 3707 doi:10.1088/0305-4470/34/18/301
Jan de Gier
Show affiliationsAn 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 vmax = 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.
Issue 18 (11 May 2001)
Received 21 November 2000, in final form 12 March 2001
Jan de Gier 2001 J. Phys. A: Math. Gen. 34 3707
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