Dynamic scaling behavior of the Ziff-Gulari-Barshad model on regular fractal lattices: The influence of lacunarity

作者:Gao Z*; Yang ZR
来源:Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 1999, 59(3): 2795-2800.
DOI:10.1103/PhysRevE.59.2795

摘要

A surface reaction model, the Ziff-Gulari-Barshad model, is studied on fractal lattices by the Monte Carlo method, and the influence of the lacunarity of the lattice on the dynamic scaling properties of the continuous transition in the model is investigated. The dynamic critical exponents are obtained on different lattices. We find that the transitions in the model on fractal lattices with different lacunarity do not belong to the same universality class. [S1063-651X(99)12403-6].