Linear response in complex systems: CTRW and the fractional Fokker–Planck equations

I.M. Sokolov, A. Blumen and J. Klafter

Physica A: Statistical Mechanics and its Applications, 2001, vol. 302, issue 1, 268-278

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 explicitly. 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: Continuous-time random walks; Fractional Fokker–Planck equation; Aging (search for similar items in EconPapers)
Date: 2001
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:302:y:2001:i:1:p:268-278

DOI: 10.1016/S0378-4371(01)00470-8

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