title: Contact process with temporal disorder.
abstract: We investigate the influence of time-varying environmental noise, i.e., temporal disorder, on the nonequilibrium phase transition of the contact process. Combining a real-time renormalization group, scaling theory, and large scale Monte-Carlo simulations in one and two dimensions, we show that the temporal disorder gives rise to an exotic critical point. At criticality, the effective noise amplitude diverges with increasing time scale, and the probability distribution of the density becomes infinitely broad, even on a logarithmic scale. Moreover, the average density and survival probability decay only logarithmically with time. This infinite-noise critical behavior can be understood as the temporal counterpart of infinite-randomness critical behavior in spatially disordered systems, but with exchanged roles of space and time. We also analyze the generality of our results, and we discuss potential experiments.
authors.affiliation: Department of Physics, Missouri University of Science and Technology, Rolla, Missouri 65409, USA.
authors.forename: Hatem
authors.initials: H
authors.lastname: Barghathi
authors.affiliation: Department of Physics, Missouri University of Science and Technology, Rolla, Missouri 65409, USA.
authors.forename: Thomas
authors.initials: T
authors.lastname: Vojta
authors.affiliation: Instituto de Física de São Carlos, Universidade de São Paulo, C.P. 369, São Carlos, São Paulo 13560-970, Brazil.
authors.forename: José A
authors.initials: JA
authors.lastname: Hoyos