Monte Carlo Simulations of the Smeared Phase Transition in a Contact Process with Extended Defects
We study the nonequilibrium phase transition in a contact process with extended quenched defects by means of Monte Carlo simulations. We find that the spatial disorder correlations dramatically increase the effects of the impurities. As a result, the sharp phase transition is completely destroyed by smearing. This is caused by effects similar to but stronger than the usual Griffiths phenomena, namely, rare strongly coupled spatial regions can undergo the phase transition independently from the bulk system. We determine both the stationary density in the vicinity of the smeared transition and its time evolution, and compare the simulation results to a recent theory based on extremal statistics.
M. Dickison and T. Vojta, "Monte Carlo Simulations of the Smeared Phase Transition in a Contact Process with Extended Defects," Journal of Physics A, Institute of Physics - IOP Publishing, Jan 2005.
The definitive version is available at https://doi.org/10.1088/0305-4470/38/6/001
National Science Foundation (U.S.)
Keywords and Phrases
Contact Process; Monte Carlo Simulations; Smeared Transition
Article - Journal
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