Existence of Griffiths-like Phases between a perfect disordered (i.e. paramagnetic state) and long range ordered state (i.e. ferromagnetic state) has been reported in number of system (mostly disordered manganites). The origin of Griffiths like phase in manganites is still a matter of debate and mostly its origin has been related to the presence of quenched disorder in the system and is are characterized by a slow relaxation of the order parameter and divergences of quantities such as the susceptibility. But now a days in few scientific reports new term i.e. Temporal Griffiths Phases has been used. Can somebody explain me the difference between usual Griffiths Phases and Temporal Griffiths Phases?
The Griffiths Phase arise in systems with static disorder whereas temporal Griffiths phase arise in systems with temporal disorder (disorder in time rather than in space). The modeling of some problems in physics, chemistry or ecology involves parameter in time. In case of magnetic system it is the disorder in fluctuating magnetic field. Temporal fluctuations in the parameters can shift critical points.
The systems with temporal disorder exhibit a region in the active phase, called the temporal Griffiths phase, such that the mean lifetime scales generically as a power law (with continuous varying exponents) of system size and logarithmically at criticality. Temporal Griffiths phase (TGP) have deep analogies with standard Griffiths phase (GP), but the roles of space and time are reversed.
Read carefully the following articles:
A.J. Bray, PRL 59, 586l (1987)
F. Vazquez et al., PRL 106, 235702 (2011)
if you are a theoretical condensed matter physicist but if you are an experimentalist working in the field of manganites then ignore all these and do some concrete experiments instead of day dreaming.
You can read two more papers (including Griffiths' original one):
R.G. Griffiths, PRL 23, 17 (1969).
M. Randeria et al., PRL 54, 1321 (1985).
Sir thanks for you suggestion. I will go through the paper F. Vazquez et al., PRL 106, 235702 (2011), other papers I have already read.
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