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| Titel |
Fluctuation - dissipation approach in modelling the Atmosphere-Ocean interaction and in Geophysical Fluid Dynamics |
| VerfasserIn |
Marco Bianucci, Riccarco Mannella |
| Konferenz |
EGU General Assembly 2014
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| Medientyp |
Artikel
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| Sprache |
Englisch
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| Digitales Dokument |
PDF |
| Erschienen |
In: GRA - Volume 16 (2014) |
| Datensatznummer |
250096883
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| Publikation (Nr.) |
 EGU/EGU2014-12413.pdf |
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| Zusammenfassung |
| Here we introduce a dynamic approach for the study of the geophysical fluid dynamics
phenomena characterized by a small interaction between the variables of interest and the rest
of the system. The approach is similar to the one developed some years ago [M. Bianucci, R.
Mannella, P. Grigolini and B.J. West From dynamics to thermodynamics: Linear Response
and statistical mechanics, Phys. Rev. E 51, 3002 (1995)] to derive statistical mechanics and
thermodynamics of some macroscopic variables on interest starting from microscopic
dynamics with no need of the standard ad hoc statistical assumption, as, for example, the the
fixed given temperature and/or the Gaussian fluctuations of the mean velocity. The general
theoretical framework is the Zwanzing projection method, used to obtain a Fokker-Plack
Equation for the probability distribution of the variables of interest, under some
general assumptions. This approach can be applied, for example, to the study of the
complex ocean - atmosphere dynamics, where, changing all the scales, the role of
the “microscopic” system is played by the atmosphere, while the ocean (or some
ocean variables) plays the role of the macroscopic system of interest. In this case the
chaotic and divergent features of the fast atmosphere dynamics remains only in the
decaying properties of the correlation functions and of the response function of
the atmosphere variables, while the exponential separation of the perturbed (or
close) single trajectories does not play a direct role. Finally we will illustrate an
example of application of this approach to the study of the ENSO phenomenon. |
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