2020/03/23 by Edda B. Vilela, E. B. Vilela, H. A. Fernandes +9
Computer Science · Physics and Astronomy · #Complex Network Analysis Techniques #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics #Topological and Geometric Data Analysis #cond-mat.mtrl-sci #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.2003.10493
10 pages, 8 figures, to appear on Journal of Computational Chemistry
openalex publication_date 2020/03/23 · arxiv created 2020/05/29 · arxiv updated 2020/06/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this work, we revisited the ZGB model in order to study the behavior of its phase diagram when two well-known random networks play the role of the catalytic surfaces: the Random Geometric Graph and the Erdös-Rényi network. The connectivity and, therefore, the average number of neighbors of the nodes of these networks can vary according to their control parameters, the neighborhood radius α and the linking probability p, respectively. In addition, the catalytic reactions of the ZGB model are governed by the parameter y, the adsorption rate of carbon monoxide molecules on the catalytic surface. So, to study the phase diagrams of the model on both random networks, we carried out extensive steady-state Monte Carlo simulations in the space parameters (y,α) and (y,p) and showed that the continuous phase transition is greatly affected by the topological features of the networks while the discontinuous one remains present in the diagram throughout the interval of study.