Critical properties of the contact process with quenched dilution

Abstract

We have studied the critical properties of the contact process on a square lattice with quenched site dilution by Monte Carlo simulations. This was achieved by generating in advance the percolating cluster, through the use of an appropriate epidemic model, and then by the simulation of the contact process on the top of the percolating cluster. The dynamic critical exponents were calculated by assuming an activated scaling relation and the static exponents by the usual power law behavior. Our results are in agreement with the prediction that the quenched diluted contact process belongs to the universality class of the random transverse-field Ising model. We have also analyzed the model and determined the phase diagram by the use of a mean-field theory that takes into account the correlation between neighboring sites.

14 pages and 8 figures

References in corpus (6)

• Directed percolation criticality in turbulent liquid crystals
• Infinite-randomness critical point in the two-dimensional disordered contact process
• Critical behavior and Griffiths effects in the disordered contact process
• On the critical behavior of the Susceptible-Infected-Recovered (SIR) model on a square lattice
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Cited by in corpus (5)

• Critical properties of the Susceptible-Exposed-Infected model with correlated temporal disorder
• Quenched disorder in the contact process on bipartite sublattices
• Universality of continuous phase transitions on random Voronoi graphs
• Relevance of topological disorder on the directed percolation phase transition
• Effects of lattice dilution on the non-equilibrium phase transition in the stochastic Susceptible-Infectious-Recovered model