Contact process with aperiodic temporal disorder
Statistical Mechanics
2023-05-17 v1
Abstract
We investigate the nonequilibrium critical behavior of the contact process with deterministic aperiodic temporal disorder implemented by choosing healing or infection rates according to a family of aperiodic sequences based on the quasiperiodic Fibonacci sequence. This family allows us to gauge the temporal fluctuations via a wandering exponent and put our work in the context of the Kinzel--Vojta--Dickman criterion for the relevance of temporal disorder to the critical behavior of nonequilibrium models. By means of analytic and numerical calculations, the generalized criterion is tested in the mean-field limit.
Cite
@article{arxiv.2303.00683,
title = {Contact process with aperiodic temporal disorder},
author = {Ariel Y. O. Fernandes and José A. Hoyos and André P. Vieira},
journal= {arXiv preprint arXiv:2303.00683},
year = {2023}
}