Phys. Rev. Lett. 96, 035701 (2006) [4 pages]Nonequilibrium Phase Transition on a Randomly Diluted LatticeReceived 9 November 2005; published 27 January 2006 We show that the interplay between geometric criticality and dynamical fluctuations leads to a novel universality class of the contact process on a randomly diluted lattice. The nonequilibrium phase transition across the percolation threshold of the lattice is characterized by unconventional activated (exponential) dynamical scaling and strong Griffiths effects. We calculate the critical behavior in two and three space dimensions, and we also relate our results to the recently found infinite-randomness fixed point in the disordered one-dimensional contact process. © 2006 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.96.035701
DOI:
10.1103/PhysRevLett.96.035701
PACS:
64.60.Ak, 02.50.Ey, 05.50.+q, 05.70.Ln
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