A model for the origin of the constant-phase-angle and related nonclassical admittance functions based on fractional Brownian motion
Abstract A number of recently developed models for the origin of the constant-phase-angle admittance bear a strong formal relationship to a system of particles exhibiting fractional Brownian motion, a modification of classical Brownian motion in which particles display a positive or negative tendency to persist in motion without changing direction. Some important characteristics of this type of motion are discussed, and the description of diffusion-like processes displaying persistence or antipersistence by a generalized random walk and a set of coupled differential equations is examined.