Linear response to perturbation of nonexponential renewal processes

Francesco Barbi; Mauro Bologna; Paolo Grigolini

doi:10.1103/PhysRevLett.95.220601

Linear response to perturbation of nonexponential renewal processes

Francesco Barbi
, Mauro Bologna
, Paolo Grigolini

Department of Electrical-Electronic Engineering

University of Pisa
University of North Texas
National Research Council of Italy

Research output: Contribution to journal › Article › peer-review

51 Scopus citations

Abstract

We study the linear response of a two-state stochastic process, obeying the 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.

Original language	English
Article number	220601
Journal	Physical Review Letters
Volume	95
Issue number	22
DOIs	https://doi.org/10.1103/PhysRevLett.95.220601
State	Published - 25 Nov 2005

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abstract = "We study the linear response of a two-state stochastic process, obeying the 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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Linear response to perturbation of nonexponential renewal processes

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