Generalized Elastic Model: Fractional Langevin Description, Fluctuation Relation and Linear Response
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 s...
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| Veröffentlicht in: | Mathematical modelling of natural phenomena 2013-01, Vol.8 (2), p.127-143 |
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| creator | Taloni, A. Chechkin, A. Klafter, J. |
| description | 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_str_mv | 10.1051/mmnp/20138209 |
| format | Article |
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| ispartof | Mathematical modelling of natural phenomena, 2013-01, Vol.8 (2), p.127-143 |
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| language | eng |
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| source | Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; Cambridge Journals |
| subjects | 33E20 60G22 82C31 82C70 Fox H-function fractional Langevin equation Linear equations linear response Mathematical models Stochastic models subdiffusion |
| title | Generalized Elastic Model: Fractional Langevin Description, Fluctuation Relation and Linear Response |
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