Kubo Fluctuation Relations in the Generalized Elastic Model
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) particl...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
|
| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2016/7502472 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849684023292461056 |
|---|---|
| author | Alessandro Taloni |
| author_facet | Alessandro Taloni |
| author_sort | Alessandro Taloni |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-c82dc2baa97149acb45c757442899e7d |
| institution | DOAJ |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-c82dc2baa97149acb45c757442899e7d2025-08-20T03:23:35ZengWileyAdvances in Mathematical Physics1687-91201687-91392016-01-01201610.1155/2016/75024727502472Kubo Fluctuation Relations in the Generalized Elastic ModelAlessandro Taloni0Center for Complexity and Biosystems, Department of Physics, University of Milan, Via Celoria 16, 20133 Milan, ItalyThe 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.http://dx.doi.org/10.1155/2016/7502472 |
| spellingShingle | Alessandro Taloni Kubo Fluctuation Relations in the Generalized Elastic Model Advances in Mathematical Physics |
| title | Kubo Fluctuation Relations in the Generalized Elastic Model |
| title_full | Kubo Fluctuation Relations in the Generalized Elastic Model |
| title_fullStr | Kubo Fluctuation Relations in the Generalized Elastic Model |
| title_full_unstemmed | Kubo Fluctuation Relations in the Generalized Elastic Model |
| title_short | Kubo Fluctuation Relations in the Generalized Elastic Model |
| title_sort | kubo fluctuation relations in the generalized elastic model |
| url | http://dx.doi.org/10.1155/2016/7502472 |
| work_keys_str_mv | AT alessandrotaloni kubofluctuationrelationsinthegeneralizedelasticmodel |