http://www.cnr.it/ontology/cnr/individuo/prodotto/ID167309

Fluctuation-Response Relation and modeling in systems with fast and slow dynamics (Articolo in rivista)

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Fluctuation-Response Relation and modeling in systems with fast and slow dynamics (Articolo in rivista) (literal)

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Lacorata, G; Vulpiani, A (2007)
Fluctuation-Response Relation and modeling in systems with fast and slow dynamics
in Nonlinear processes in geophysics
(literal)

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Inst Atmospher P& Climate Sci, Natl Res Council, I-73100 Lecce, Italy; Univ Roma La Sapienza, INFM, Dept Phys, I-00185 Rome, Italy (literal)

Titolo

Fluctuation-Response Relation and modeling in systems with fast and slow dynamics (literal)

Abstract

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. (literal)

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