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Please use this identifier to cite or link to this item: http://hdl.handle.net/10261/44597
Title: Temporal Griffiths Phases
Authors: Vázquez, Federico ; Bonachela, Juan Antonio; López, Cristóbal ; Muñoz, Miguel A.
Issue Date: 2011
Publisher: American Physical Society
Citation: Physical Review Letters 106: 235702 (2011)
Abstract: Disorder is an unavoidable ingredient of real systems. Spatial disorder generates {\it 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 {\it generic scale invariance}. Here, we study the effects of temporal disorder, focusing on systems with absorbing states. We show that for dimensions $d \geq 2$ there are {\it Temporal Griffiths phases (TGPs)} characterized by generic power-law spatial scaling 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 non-trivial effects of temporal disorder.
Description: PACS numbers: 05.40.Ca,05.10.Gg,05.70.Fh,05.70.J
Publisher version (URL): http://dx.doi.org/10.1103/PhysRevLett.106.235702
URI: http://hdl.handle.net/10261/44597
DOI: 10.1103/PhysRevLett.106.235702
ISSN: 0031-9007
E-ISSN: 1079-7114
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