Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2011-05-18
Physics
Condensed Matter
Statistical Mechanics
4 pages, 3 figures; Accepted in PRL
Scientific paper
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 $d \geq 2$ there are 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.
Bonachela Juan Antonio
Lopez Cristobal
Muñoz Miguel Angel
Vazquez Federico
No associations
LandOfFree
Temporal Griffiths Phases does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Temporal Griffiths Phases, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Temporal Griffiths Phases will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-53720