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.
Grigolini, Paolo
University of North Texas; Università di Pisa; Istituto dei Processi Chimico Fisici del Consiglio Nazionale delle Ricerche
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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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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 May 29, 2017),
University of North Texas Libraries, Digital Library, digital.library.unt.edu;
crediting UNT College of Arts and Sciences.