Noise-induced intermittence

TL;DR

This paper investigates a type of noise-induced intermittence driven by out-of-equilibrium processes, highlighting how aging influences the short-time behavior without affecting the large-time power-law distribution.

Contribution

It introduces a new form of intermittence where aging impacts the short-time dynamics but not the long-time power-law tail, contrasting with Pomeau-Manneville intermittence.

Findings

Survival probability follows Mittag-Leffler function in aged conditions

Aging affects the short-time stretched exponential regime

Large-time power law remains unaffected by aging

Abstract

We study a form of noise-induced intermittence originated by an out of equilibrium process yielding events in time with a survival probability that in the case of an infinitely aged condition coincides with the Mittag-Leffler function. In contrast with the Pomeau-Manneville intermittence, the aging process does not have any effect on the inverse power law of the large time scale but on the short-time stretched exponential regime.