Normal and Anomalous Diffusion: Ergodicity and Fluctuation--Dissipation Theorem
Abstract
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.
- Publication:
-
Acta Physica Polonica B
- Pub Date:
- April 2004
- Bibcode:
- 2004AcPPB..35.1359M