Nonequilibrium phase transition on a randomly diluted lattice
Statistical Mechanics
2007-05-23 v2 Disordered Systems and Neural Networks
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.
Cite
@article{arxiv.cond-mat/0511065,
title = {Nonequilibrium phase transition on a randomly diluted lattice},
author = {Thomas Vojta and Man Young Lee},
journal= {arXiv preprint arXiv:cond-mat/0511065},
year = {2007}
}
Comments
4 pages, 1 eps figure, final version as published