Temporal Griffiths phases

Federico Vazquez, Juan A. Bonachela, Cristóbal López, Miguel A. Muñoz

Research output: Contribution to journalArticlepeer-review

47 Citations (Scopus)


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 d2 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.

Original languageEnglish
Article number235702
Number of pages4
JournalPhysical Review Letters
Issue number23
Publication statusPublished - 10 Jun 2011


  • spatial disorder
  • Griffiths phases
  • temporal disorder


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