Non-Poisson Dichotomous Noise: Higher-Order Correlation Functions and Aging

摘要

The authors study a two-state symmetric noise, with a given waiting time distribution psi(tau), and focus their attention on the connection between the four-time and two-time correlation functions. The transition of psi(tau) from the exponential to the nonexponential condition yields the breakdown of the usual factorization condition of higher-order correlation functions, as well as the birth of aging effects. The authors discuss the subtle connections between these two properties and establish the condition that the Liouville- like approach has to satisfy to produce a correct description of the resulting diffusion process.