Generalized elastic model: Fractional langevin description, fluctuation relation and linear response

A. Taloni, A. Chechkin, J. Klafter

Research output: Contribution to journalArticlepeer-review

Abstract

The Generalized Elastic Model is a linear stochastic model which accounts for the behaviour of many physical systems in nature, ranging from polymeric chains to single-file systems. If an external perturbation is exerted only on a single point x (tagged probe), it propagates throughout the entire system. Within the fractional Langevin equation framework, we study the effect of such a perturbation, in cases of a constant force applied. We report most of the results arising from our previous analysis and, in the present work, we show that the Fox H-functions formalism provides a compact, elegant and useful tool for the study of the scaling properties of any observable. In particular we show how the generalized Kubo fluctuation relations can be expressed in terms of H-functions.

Original languageEnglish
Pages (from-to)144-158
Number of pages15
JournalMathematical Modelling of Natural Phenomena
Volume8
Issue number2
DOIs
StatePublished - 2013

Keywords

  • Fox H-function
  • Fractional Langevin equation
  • Linear response
  • Subdiffusion

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