2013/05/13 by Alessandro Taloni, Aleksei Chechkin, Joseph Klafter · 1 citation
Physics and Astronomy · #cond-mat.stat-mech
paper · pdf · doi:10.1051/mmnp/20138202
published as Math. Model. Nat. Phenom. 8, 2, 2013, 32-48
arxiv created 2013/05/13 · arxiv updated 2013/05/14
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.