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

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

Research output: Contribution to journalConference articlepeer-review

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.

Original languageEnglish
Pages (from-to)268-278
Number of pages11
JournalPhysica A: Statistical Mechanics and its Applications
Volume302
Issue number1-4
DOIs
StatePublished - 15 Dec 2001
EventInternational Workshop on Frontiers in the Physics of Complex Systems - Ramat-Gan, Israel
Duration: 25 Mar 200128 Mar 2001

Keywords

  • Aging
  • Continuous-time random walks
  • Fractional Flokker-Planck equation

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