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Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating

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Published on: October 11, 2016

Temporal Griffiths phases.

Federico Vazquez¹, Juan A Bonachela, Cristóbal López

¹Max-Planck-Institut für Physik komplexer Systeme, Dresden, Germany.

Physical Review Letters

|July 21, 2011

Summary

This summary is machine-generated.

Temporal disorder creates new phenomena called Temporal Griffiths phases (TGPs). These TGPs, similar to spatial Griffiths phases, show unique scaling and susceptibility divergences in systems with absorbing states.

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Area of Science:

Statistical physics
Condensed matter physics
Complex systems

Background:

Real systems inherently contain disorder, influencing their behavior.
Spatial disorder leads to Griffiths phases (GPs), characterized by slow dynamics and divergent susceptibility.
GPs exhibit scale invariance over a range of parameters, not just at a critical point.

Purpose of the Study:

To investigate the impact of temporal disorder on systems, particularly those with absorbing states.
To identify and characterize novel phases arising from temporal disorder.
To establish a theoretical framework for understanding temporal disorder effects.

Main Methods:

Theoretical analysis of systems with absorbing states under temporal disorder.
Focus on systems in dimensions d≥2.
Mathematical modeling to identify scaling behaviors and divergences.

Main Results:

Existence of Temporal Griffiths phases (TGPs) in dimensions d≥2.
TGPs exhibit generic power-law scaling and susceptibility divergences.
TGPs are shown to be the temporal counterpart of spatial Griffiths phases.

Conclusions:

Temporal disorder introduces unique phenomena, namely Temporal Griffiths phases.
TGPs offer a new perspective on disorder effects, with time and space roles reversed compared to GPs.
TGPs provide a unifying concept for understanding temporal disorder's nontrivial influence.