Nonequilibrium phase transition on a randomly diluted lattice

Details Nonequilibrium phase transition on a randomly diluted lattice Nonequilibrium phase transition on a randomly diluted lattice

2005-11-02

arxiv.org/abs/cond-mat/0511065v2

Phys. Rev. Lett. 96, 035701 (2006)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 1 eps figure, final version as published

Scientific paper

10.1103/PhysRevLett.96.035701

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.

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