2005/06/30 by Paolo Sibani, P Sibani
Economics, Econometrics and Finance · Materials Science · Physics and Astronomy · #Autocorrelation #Complex Systems and Time Series Analysis #Dynamics (music) #Function (biology) #Gaussian #Intermittency #Material Dynamics and Properties #Mesoscopic physics #Probability density function #Simple (philosophy) #Theoretical and Computational Physics #cond-mat.soft
paper · pdf · doi:10.1209/epl/i2005-10352-3
published as Europhys. Lett., 73 (1), pp. 69-75 (2006) · 7 pages 5 figs, several corrections, final version to appear in EuroPhysics Letters
arxiv created 2005/10/30 · openalex publication_date 2005/11/22 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.