Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2006-02-10
Physics
Condensed Matter
Statistical Mechanics
19 pages, submitted to P.R.E
Scientific paper
We study the linear response to an external perturbation of a renewal process, in an aging condition that, with no perturbation, would yield super-diffusion. We use the phenomenological approach to the linear response adopted in earlier work of other groups, and we find that aging may have the effect of annihilating any sign of coherent response to harmonic perturbation. We also derive the linear response using dynamic arguments and we find a coherent response, although with an intensity dying out very slowly. In the case of a step-like perturbation the dynamic arguments yield in the long-time limit a steady signal whose intensity may be significantly smaller than the phenomenological approach prediction.
Allegrini Paolo
Ascolani Gianluca
Bologna Mauro
Grigolini Paolo
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