Critical behavior and Griffiths effects in the disordered contact process

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dc.creatorVojta, Thomas
dc.creatorDickison, Mark
dc.date2005-05-13
dc.date2005-09-30
dc.date.accessioned2026-07-07T06:20:19Z
dc.date.available2026-07-07T06:20:19Z
dc.descriptionWe study the nonequilibrium phase transition in the one-dimensional contact process with quenched spatial disorder by means of large-scale Monte-Carlo simulations for times up to $10^9$ and system sizes up to $10^7$ sites. In agreement with recent predictions of an infinite-randomness fixed point, our simulations demonstrate activated (exponential) dynamical scaling at the critical point. The critical behavior turns out to be universal, even for weak disorder. However, the approach to this asymptotic behavior is extremely slow, with crossover times of the order of $10^4$ or larger. In the Griffiths region between the clean and the dirty critical points, we find power-law dynamical behavior with continuously varying exponents. We discuss the generality of our findings and relate them to a broader theory of rare region effects at phase transitions with quenched disorder.
dc.description10 pages, 8 eps figures, final version as published
dc.identifierhttps://arxiv.org/abs/cond-mat/0505354
dc.identifierhttp://arxiv.org/abs/cond-mat/0505354
dc.identifierPhys. Rev. E 72, 036126 (2005)
dc.identifierdoi:10.1103/PhysRevE.72.036126
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95299
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleCritical behavior and Griffiths effects in the disordered contact process
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