Normal and Anomalous Diffusion: Ergodicity and Fluctuation–Dissipation Theorem

摘要

We show a procedure for determining the class of diffusion in systems governed by a generalized Langevin equation with memory. The analysis holds for one-dimensional systems. We provide a simple answer for the diffusive exponent and its relation with noise and memory. We discuss as well limits for mixing, ergodicity and of the fluctuation–dissipation theorem.