Issue |
Europhys. Lett.
Volume 73, Number 1, January 2006
|
|
---|---|---|
Page(s) | 69 - 75 | |
Section | Condensed matter: structural, mechanical and thermal properties | |
DOI | https://doi.org/10.1209/epl/i2005-10352-3 | |
Published online | 23 November 2005 |
Mesoscopic fluctuations and intermittency in aging dynamics
Fysisk Institut, SDU - DK-5230 Odense M, Denmark
Received:
7
June
2005
Accepted:
27
October
2005
Mesoscopic aging systems are characterized by large intermittent noise
fluctuations. In a record dynamics scenario (Sibani
P. and Dall J., Europhys. Lett., 64 (2003) 8) these
events, quakes, are treated as a Poisson process with average , where t is the observation time, tw is the age
and α is a parameter. Assuming for simplicity that quakes
constitute the only source of de-correlation, we present a model for
the probability density function (PDF) of the configuration
autocorrelation function. Beside α, the model has the average
quake size
as a parameter. The model autocorrelation PDF has a
Gumbel-like shape, which approaches a Gaussian for large
and
becomes sharply peaked in the thermodynamic limit. Its average and
variance, which are given analytically, depend on
as a power
law and a power law with a logarithmic correction, respectively. Most
predictions are in good agreement with data from the literature and
with the simulations of the Edwards-Anderson spin-glass carried out as
a test.
PACS: 65.60.+a – Thermal properties of amorphous solids and glasses: heat capacity, thermal expansion, etc / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 75.10.Nr – Spin-glass and other random models
© EDP Sciences, 2005
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