%0 Journal Article
%T Generalized Elastic Model: Fractional Langevin Description, Fluctuation Relation, and Linear Response
%A Alessandro Taloni
%A Aleksei Chechkin
%A Joseph Klafter
%J Physics
%D 2013
%I arXiv
%R 10.1051/mmnp/20138202
%X 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 \emph{only} on a single point $\vec{x}^\star$ (\emph{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.
%U http://arxiv.org/abs/1305.2113v2