Kubo Fluctuation Relations in the Generalized Elastic Model
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-01-31
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
The generalized elastic model encompasses several linear stochastic models describing the dynamics of polymers, membranes, rough surfaces, and fluctuating interfaces.
In this paper we show that the Fractional Langevin Equation (FLE) is a suitable framework for the study of the tracer (probe) particle dynamics, when an external force acts only on a single point x→⋆ (tagged probe) belonging to the system.
With the help of the Fox function formalism we study the scaling behaviour of the noise- and force-propagators for large and short times (distances).
We show that the Kubo fluctuation relations are exactly fulfilled when a time periodic force is exerted on the tagged probe.
Most importantly, by studying the large and low frequency behaviour of the complex mobility we illustrate surprising nontrivial physical scenarios.
Our analysis shows that the system splits into two distinct regions whose size depends on the applied frequency, characterized by very different response to the periodic perturbation exerted, both in the phase shift and in the amplitude.
American Psychological Association (APA)
Taloni, Alessandro. 2016. Kubo Fluctuation Relations in the Generalized Elastic Model. Advances in Mathematical Physics،Vol. 2016, no. 2016, pp.1-16.
https://search.emarefa.net/detail/BIM-1095902
Modern Language Association (MLA)
Taloni, Alessandro. Kubo Fluctuation Relations in the Generalized Elastic Model. Advances in Mathematical Physics No. 2016 (2016), pp.1-16.
https://search.emarefa.net/detail/BIM-1095902
American Medical Association (AMA)
Taloni, Alessandro. Kubo Fluctuation Relations in the Generalized Elastic Model. Advances in Mathematical Physics. 2016. Vol. 2016, no. 2016, pp.1-16.
https://search.emarefa.net/detail/BIM-1095902
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1095902