Absorbing-state phase transitions on percolating lattices

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dc.creatorLee, Man Young
dc.creatorVojta, Thomas
dc.date2009-01-14
dc.date2009-04-27
dc.date.accessioned2026-07-07T13:08:19Z
dc.date.available2026-07-07T13:08:19Z
dc.descriptionWe study nonequilibrium phase transitions of reaction-diffusion systems defined on randomly diluted lattices, focusing on the transition across the lattice percolation threshold. To develop a theory for this transition, we combine classical percolation theory with the properties of the supercritical nonequilibrium system on a finite-size cluster. In the case of the contact process, the interplay between geometric criticality due to percolation and dynamical fluctuations of the nonequilibrium system leads to a new universality class. The critical point is characterized by ultraslow activated dynamical scaling and accompanied by strong Griffiths singularities. To confirm the universality of this exotic scaling scenario we also study the generalized contact process with several (symmetric) absorbing states, and we support our theory by extensive Monte-Carlo simulations.
dc.description11 pages, 10 eps figures included, final version as published
dc.identifierhttps://arxiv.org/abs/0901.1995
dc.identifierhttp://arxiv.org/abs/0901.1995
dc.identifierPhys. Rev. E 79, 041112 (2009)
dc.identifierdoi:10.1103/PhysRevE.79.041112
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228379
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleAbsorbing-state phase transitions on percolating lattices
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