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Linear response to perturbation of non-exponential renewal processes

Francesco Barbi·Mauro Bologna·Paolo Grigolini
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Abstract

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.

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Francesco Barbi, Mauro Bologna, Paolo Grigolini. 2005-09-07. Linear response to perturbation of non-exponential renewal processes. https://doi.org/10.1103/physrevlett.95.220601

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