Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-10-25
J. Phys. A 38 (2005) 1199-1208
Physics
Condensed Matter
Statistical Mechanics
10 pages, 7 eps figures, final version as published
Scientific paper
10.1088/0305-4470/38/6/001
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, viz., 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 we compare the simulation results to a recent theory based on extremal statistics.
Dickison Mark
Vojta Thomas
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