Renewal aging and linear response
统计力学
2007-05-23 v1
摘要
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.
引用
@article{arxiv.cond-mat/0602281,
title = {Renewal aging and linear response},
author = {Paolo Allegrini and Gianluca Ascolani and Mauro Bologna and Paolo Grigolini},
journal= {arXiv preprint arXiv:cond-mat/0602281},
year = {2007}
}
备注
19 pages, submitted to P.R.E