Renewal aging and linear response

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Paper discussing the linear response to an external perturbation of a renewal process, in an aging condition that, with no perturbation, would yield super-diffusion.

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19 p.

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Allegrini, Paolo; Ascolani, Gianluca; Bologna, Mauro & Grigolini, Paolo February 6, 2008.

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Paper discussing the linear response to an external perturbation of a renewal process, in an aging condition that, with no perturbation, would yield super-diffusion.

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19 p.

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This is the pre-print version of the paper.

Abstract: 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.

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  • arXiv: cond-mat/0602281

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UNT Scholarly Works

The Scholarly Works Collection is home to materials from the University of North Texas community's research, creative, and scholarly activities and serves as UNT's Open Access Repository. It brings together articles, papers, artwork, music, research data, reports, presentations, and other scholarly and creative products representing the expertise in our university community.** Access to some items in this collection may be restricted.**

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  • February 6, 2008

Added to The UNT Digital Library

  • July 24, 2013, 1:20 p.m.

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  • April 1, 2014, 2:56 p.m.

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Allegrini, Paolo; Ascolani, Gianluca; Bologna, Mauro & Grigolini, Paolo. Renewal aging and linear response, paper, February 6, 2008; (digital.library.unt.edu/ark:/67531/metadc174702/: accessed February 24, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT College of Arts and Sciences.