Dynamics of Annealed Systems under External Fields: 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 a system modelled by continuous-time random walks (CTRW) to an external field pulse of rectangular shape. We calculate the corresponding response function explicitely and show that it exhibits aging, i.e. that it is not translationally invariant in the time-domain. This result differs from that of systems which behave according to fractional Fokker-Planck equations.
Keywords
Cite
@article{arxiv.cond-mat/0103468,
title = {Dynamics of Annealed Systems under External Fields: CTRW and the Fractional Fokker-Planck Equations},
author = {I. M. Sokolov and A. Blumen and J. Klafter},
journal= {arXiv preprint arXiv:cond-mat/0103468},
year = {2009}
}