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Intermittency, aging and record fluctuations

Paolo Sibani·Henrik Jeldtoft Jensen
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Abstract

Aging in spin glasses is analyzed via the Probability Density Function (PDF) of the heat transfer between system and bath over a small time $δt$. The PDF contains a Gaussian part, describing reversible fluctuations, and an exponential tail caused by intermittent events. We find that the relative weight of these two parts depends, for fixed $δt$, on the ratio of the total sampling time to the age $t_w$. Fixing this ratio, the intensity of the intermittent events is proportional to $δt/t_w$ and independent of the temperature. The Gaussian part has a variance with the same temperature dependence as the variance of the equilibrium energy in a system with an exponential density of states. All these observations are explained assuming that, for any $t_w$, intermittent events are triggered by local energy fluctuations exceeding those previously occurred.

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Paolo Sibani, Henrik Jeldtoft Jensen. 2004-12-03. Intermittency, aging and record fluctuations. https://doi.org/10.1209/epl%2Fi2004-10376-1

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