Linear Response in Complex Systems: CTRW and the Fractional Fokker-Planck Equations

Details Linear Response in Complex Systems: CTRW and the Fractional Fokker-Planck Equations Linear Response in Complex Systems: CTRW and the Fractional Fokker-Planck Equations

2001-07-31

arxiv.org/abs/cond-mat/0107632v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1016/S0378-4371(01)00470-8

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.

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