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

Preprint

21 October 1997

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9710211

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

Keywords

ZIFF GULARI BARSHAD
EPIDEMIC ANALYSIS
PHASE TRANSITION
CRITICAL POINT

All Related Versions

Version 1, 1997-10-21, ArXiv
Published version: Physical Review E, 56 (6), R6241.

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