Geodesic
Generalized Elastic Model: Fractional Langevin Description, Fluctuation Relation and Linear Response
A. Taloni1 ; A. Chechkin2, 3 ; J. Klafter4
1 CNR-IENI, Via R. Cozzi 53, 20125 Milano, Italy
2 Max-Planck-Institute for Physics of Complex Systems, Noethnitzer Str. 38 D-91187 Dresden, Germany
3 Akhiezer Institute for Theoretical Physics, NSC KIPT, Kharkov 61108, Ukraine
4 School of Chemistry, Tel Aviv University, Tel Aviv 69978, Israel
Mathematical modelling of natural phenomena, Tome 8 (2013) no. 2, pp. 127-143.

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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.
DOI : 10.1051/mmnp/20138209

A. Taloni 1 ; A. Chechkin 2, 3 ; J. Klafter 4

1 CNR-IENI, Via R. Cozzi 53, 20125 Milano, Italy
2 Max-Planck-Institute for Physics of Complex Systems, Noethnitzer Str. 38 D-91187 Dresden, Germany
3 Akhiezer Institute for Theoretical Physics, NSC KIPT, Kharkov 61108, Ukraine
4 School of Chemistry, Tel Aviv University, Tel Aviv 69978, Israel 
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A. Taloni; A. Chechkin; J. Klafter. Generalized Elastic Model: Fractional Langevin Description, Fluctuation Relation and Linear Response. Mathematical modelling of natural phenomena, Tome 8 (2013) no. 2, pp. 127-143. doi : 10.1051/mmnp/20138209. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20138209/

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