Linear Response in Complex Systems: CTRW and the Fractional Fokker-Planck Equations
classification
❄️ cond-mat.stat-mech
cond-mat.dis-nn
keywords
ctrwfokker-planckfractionalresponseequationslinearsystemsunder
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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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