Dynamic scaling behavior of the Ziff-Gulari-Barshad model on regular fractal lattices: The influence of lacunarity
Abstract
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.
- Publication:
-
Physical Review E
- Pub Date:
- March 1999
- DOI:
- 10.1103/PhysRevE.59.2795
- Bibcode:
- 1999PhRvE..59.2795G
- Keywords:
-
- 05.50.+q;
- 82.65.Jv;
- 64.60.Ht;
- 61.43.Hv;
- Lattice theory and statistics;
- Dynamic critical phenomena;
- Fractals;
- macroscopic aggregates