Contact Process with Aperiodic Temporal Disorder

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 cv 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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This article investigates the nonequilibrium critical behavior of the contact process with deterministic aperiodic temporal disorder. The authors test the generalized criterion in the mean-field limit using analytic and numerical calculations.