Linear Response in Complex Systems: CTRW and the Fractional Fokker-Planck Equations
Statistical Mechanics
2009-11-07 v1 Disordered Systems and Neural Networks
Abstract
We consider the linear response of systems modelled by continuous-time random walks (CTRW) and by fractional Fokker-Planck equations under the influence of time-dependent external fields. We calculate the corresponding response functions explicitely. The CTRW curve exhibits aging, i.e. it is not translationally invariant in the time-domain. This is different from what happens under fractional Fokker-Planck conditions.
Keywords
Cite
@article{arxiv.cond-mat/0107632,
title = {Linear Response in Complex Systems: CTRW and the Fractional Fokker-Planck Equations},
author = {I. M. Sokolov and A. Blumen and J. Klafter},
journal= {arXiv preprint arXiv:cond-mat/0107632},
year = {2009}
}