Linear Response and Fluctuation Dissipation Theorem for non-Poissonian Renewal Processes

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Article discussing linear response and fluctuation dissipation theorem for non-Poissonian renewal processes.

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6 p.

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Aquino, Gerardo; Grigolini, Paolo & West, Bruce J. July 8, 2008.

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This article is part of the collection entitled: UNT Scholarly Works and was provided by UNT College of Arts and Sciences to Digital Library, a digital repository hosted by the UNT Libraries. It has been viewed 47 times , with 5 in the last month . More information about this article can be viewed below.

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  • IOP Science
    Place of Publication: [Bristol, United Kingdom]

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Article discussing linear response and fluctuation dissipation theorem for non-Poissonian renewal processes.

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6 p.

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This is the pre-print version of the paper. The final definitive version can be found through the IOP Science website: http://iopscience.iop.org/0295-5075/80/1/10002

Abstract: The Continuous Time Random Walk (CTRW) formalism is used to model the non-Poisson relaxation of a system response to perturbation. Two mechanisms to perturb the system are analyzed: a first in which the perturbation, seen as a potential gradient, simply introduces a bias in the hopping probability of the walker from on site to the other but leaves unchanged the occurrence times of the attempted jumps ("events") and a second in which the occurrence times of the events are perturbed. The system response is calculated analytically in both cases in a non-ergodic condition, i.e. for a diverging first moment in time. Two different Fluctuation-Dissipation Theorems (FDTs), one for each kind of mechanism, are derived and discussed.

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  • Europhysics Letters, 2007, Bristol: IOP Science

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  • Publication Title: Europhysics Letters
  • Volume: 80
  • Issue: 1
  • Peer Reviewed: Yes

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UNT Scholarly Works

Materials from the UNT community's research, creative, and scholarly activities and UNT's Open Access Repository. Access to some items in this collection may be restricted.

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  • July 8, 2008

Added to The UNT Digital Library

  • Aug. 13, 2013, 2:47 p.m.

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  • April 2, 2014, 3:43 p.m.

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Aquino, Gerardo; Grigolini, Paolo & West, Bruce J. Linear Response and Fluctuation Dissipation Theorem for non-Poissonian Renewal Processes, article, July 8, 2008; [Bristol, United Kingdom]. (digital.library.unt.edu/ark:/67531/metadc177279/: accessed September 22, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT College of Arts and Sciences.