title: Temporal Griffiths phases.
abstract: Disorder is an unavoidable ingredient of real systems. Spatial disorder generates Griffiths phases (GPs) which, in analogy to critical points, are characterized by a slow relaxation of the order parameter and divergences of quantities such as the susceptibility. However, these singularities appear in an extended region of the parameter space and not just at a (critical) point, i.e., there is generic scale invariance. Here, we study the effects of temporal disorder, focusing on systems with absorbing states. We show that for dimensions d≥2 there are Temporal Griffiths phases (TGPs) characterized by generic power-law scaling of some magnitudes and generic divergences of the susceptibility. TGPs turn out to be a counterpart of GPs, but with space and time playing reversed roles. TGPs constitute a unifying concept, shedding light on the nontrivial effects of temporal disorder.
authors.affiliation: Max-Planck-Institut für Physik komplexer Systeme, Dresden, Germany.
authors.forename: Federico
authors.initials: F
authors.lastname: Vazquez
authors.forename: Juan A
authors.initials: JA
authors.lastname: Bonachela
authors.forename: Cristóbal
authors.initials: C
authors.lastname: López
authors.forename: Miguel A
authors.initials: MA
authors.lastname: Muñoz