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arXiv · 2303.00683

Contact process with aperiodic temporal disorder

Ariel Y. O. Fernandes·José A. Hoyos·André P. Vieira
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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 $ω$ 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.

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Ariel Y. O. Fernandes, José A. Hoyos, André P. Vieira. 2023-03-01. Contact process with aperiodic temporal disorder. https://doi.org/10.1007/s13538-023-01298-6

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