Work

Nonequilibrium Phase Transition on a Randomly Diluted Lattice

Year: 2006
Type: article
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.
Language: English
Open Access status: green
OpenAlex ID: W2021640248
FWCI: 3.667
Cites: 31
Cited by: 49
Related to: 10