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.

Department(s)

Physics

Sponsor(s)

National Science Foundation (U.S.)
Research Corporation
University of Missouri Research Board

Keywords and Phrases

Fluctuations; Phase Transformations; Lattice dynamics; Percolation

International Standard Serial Number (ISSN)

0031-9007

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2006 American Physical Society (APS), All rights reserved.

Included in

Physics Commons

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