Non-Poisson dichotomous noise: higher-order correlation functions and aging.
We study a two-state symmetric noise, with a given waiting time distribution psi (tau) , and focus our 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 high-order correlation functions, as well as the birth of aging effects. We discuss the subtle connections between these two properties and establish the condition that the Liouville-like approach has to satisfy in order to produce a correct description of the resulting diffusion process.
Allegrini
P
P
INFM, Unità di Como, Via Valleggio 11, 22100 Como, Italy.
Grigolini
Paolo
P
Palatella
Luigi
L
West
Bruce J
BJ