Title: 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.