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

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

1997-10-21

arxiv.org/abs/cond-mat/9710211v1

Physics

Condensed Matter

REVTEX, 4 pages, 5 figures, Submitted to Physical Review E

Scientific paper

10.1103/PhysRevE.56.R6241

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, \delta, and \eta which provide further numerical evidence that this transition is in the same universality class as directed percolation.

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