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| Titel |
Fluctuation-Response Relation and modeling in systems with fast and slow dynamics |
| VerfasserIn |
G. Lacorata, A. Vulpiani |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1023-5809
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| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics ; 14, no. 5 ; Nr. 14, no. 5 (2007-10-31), S.681-694 |
| Datensatznummer |
250012284
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| Publikation (Nr.) |
 copernicus.org/npg-14-681-2007.pdf |
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| Zusammenfassung |
| We show how a general formulation of the Fluctuation-Response Relation is able to describe in detail the
connection between response properties to external perturbations and spontaneous fluctuations
in systems with fast and slow variables. The method is tested by using the 360-variable Lorenz-96
model, where slow and fast variables are coupled to one another with reciprocal feedback, and a simplified low
dimensional system. In the Fluctuation-Response context, the influence of the fast dynamics on the slow dynamics
relies in a non trivial behavior of a suitable quadratic response function. This has important consequences
for the modeling of the slow dynamics in terms of a Langevin equation: beyond a certain intrinsic time interval
even the optimal model can give just statistical prediction. |
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