Title

Monte Carlo Simulations of the Smeared Phase Transition in a Contact Process with Extended Defects

Abstract

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.

Department(s)

Physics

Sponsor(s)

National Science Foundation (U.S.)

Keywords and Phrases

Contact Process; Monte Carlo Simulations; Smeared Transition

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2005 Institute of Physics - IOP Publishing, All rights reserved.

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