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Temporal Griffiths Phases

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Vazquez,  F.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Citation

Vazquez, F., Bonachela, J. A., Lopez, C., & Munoz, M. A. (2011). Temporal Griffiths Phases. Physical Review Letters, 106(23): 235702.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0029-8C9B-C
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.