Theory of Diffusion and Intermittency in Chaotic Systems. II: Physical Picture for Non-Perturbative Non-Diffusive Motion

Abstract

The characteristic exponent introduced by one of the authors to analyze a steady time sequence is further studied and the physical implication of the intermittency branches is clarified. It is shown that these branches characterize the intermittency aspects of the time sequence, described by alternative generation of laminar states and bursts. In order to emphasize the complementarity between the diffusion characteristics and the intermittency one, we introduce a new stochastic process, the intermittency process, which is an idealization of the intermittency branch. In this new stochastic process we can define neither the drift velocity nor the diffusion coefficient, and so the central limit theorem is inapplicable.