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Epidemic analysis of the second-order transition in the Ziff-Gulari-Barshad surface-reaction model

Christopher A. Voigt·Robert M. Ziff
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Abstract

We study the dynamic behavior of the Ziff-Gulari-Barshad (ZGB) irreversible surface-reaction model around its kinetic second-order phase transition, using both epidemic and poisoning-time analyses. We find that the critical point is given by p_1 = 0.3873682 \pm 0.0000015, which is lower than the previous value. We also obtain precise values of the dynamical critical exponents z, δ, and ηwhich provide further numerical evidence that this transition is in the same universality class as directed percolation.

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Christopher A. Voigt, Robert M. Ziff. 1997-10-21. Epidemic analysis of the second-order transition in the Ziff-Gulari-Barshad surface-reaction model. https://doi.org/10.1103/physreve.56.r6241

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