Journal article

Autocorrelations in the totally asymmetric simple exclusion process and Nagel-Schreckenberg model

Jan de Gier, Timothy M Garoni, Zongzheng Zhou

PHYSICAL REVIEW E | AMER PHYSICAL SOC | Published : 2010

Abstract

We study via Monte Carlo simulation the dynamics of the Nagel-Schreckenberg model on a finite system of length L with open boundary conditions and parallel updates. We find numerically that in both the high and low density regimes the autocorrelation function of the system density behaves like 1-|t|/τ with a finite support [-τ,τ] . This is in contrast to the usual exponential decay typical of equilibrium systems. Furthermore, our results suggest that in fact τ=L/c , and in the special case of maximum velocity v{max}=1 (corresponding to the totally asymmetric simple exclusion process) we can identify the exact dependence of c on the input, output and hopping rates. We also emphasize that the ..

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University of Melbourne Researchers

Grants

Awarded by NSFC


Awarded by NSF of Anhui


Funding Acknowledgements

This research was supported by the Australian Research Council. Z.Z. acknowledges support from the NSFC under Grant No. 10975127 and the NSF of Anhui under Grant No. 090416224. T.M.G. would like to thank Alan Sokal for some useful comments.