Epidemic analysis of the second-order transition in the Ziff-Gulari-Barshad surface-reaction model
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 p1 = 0.3873682 0.0000015, which is lower than the previous value. We also obtain precise values of the dynamical critical exponents z, δ, and η which provide further numerical evidence that this transition is in the same universality class as directed percolation.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.