Linear response to perturbation of non-exponential renewal processes

We study the linear response of a two-state stochastic process, obeying renewal condition, by means of a stochastic rate equation equivalent to a master equation with infinite memory. We show that the condition of perennial aging makes the response to coherent perturbation vanish in the long-time li...

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Bibliographic Details
Published in:arXiv.org 2005-09
Main Authors: Barbi, Francesco, Bologna, Mauro, Grigolini, Paolo
Format: Article
Language:English
Subjects:
Perturbation
Stochastic processes
Online Access:Get full text
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Summary:We study the linear response of a two-state stochastic process, obeying renewal condition, by means of a stochastic rate equation equivalent to a master equation with infinite memory. We show that the condition of perennial aging makes the response to coherent perturbation vanish in the long-time limit.
ISSN:2331-8422
DOI:10.48550/arxiv.0509184