Year: 2005
Type: article
Abstract: 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 αln (1 + t / t w ), where t is the observation time, t w 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 1/ q as a parameter. The model autocorrelation PDF has a Gumbel-like shape, which approaches a Gaussian for large t / t w and becomes sharply peaked in the thermodynamic limit. Its average and variance, which are given analytically, depend on t / t w 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.
Source: Europhysics Letters (EPL)
Author: P Sibani
Institution: University of Southern Denmark
Language: English
Subfield: Materials Chemistry
Field: Materials Science
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2001863610