Nonequilibrium Phase Transition on a Randomly Diluted Lattice

Thomas Vojta and Man Young Lee
Phys. Rev. Lett. 96, 035701 – Published 27 January 2006

Abstract

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.

  • Figure
  • Received 9 November 2005

DOI:https://doi.org/10.1103/PhysRevLett.96.035701

©2006 American Physical Society

Authors & Affiliations

Thomas Vojta and Man Young Lee

  • Department of Physics, University of Missouri-Rolla, Rolla, Missouri 65409, USA

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Issue

Vol. 96, Iss. 3 — 27 January 2006

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