Fluctuations, response, and resonances in a simple atmospheric model

PHYSICA D-NONLINEAR PHENOMENA

卷:349

Article

Gritsun, Andrey^1,2  Lucarini, Valerio^3,4,5 

[1] Russian Acad Sci, Inst Numer Math, Moscow, Russia

[2] Russian Acad Sci, Inst Appl Phys, Nizhnii Novgorod, Russia

[3] Univ Reading, Dept Math & Stat, Reading, Berks, England

[4] Univ Reading, Ctr Math Planet Earth, Reading, Berks, England

[5] Univ Hamburg, CEN, Hamburg, Germany

关键词: Atmospheric model;    Resonant response;    Covariant Lyapunov vectors;    Ruelle response theory;    Fluctuation dissipation theorem;    Unstable periodic orbits;   

DOI  :  10.1016/j.physd.2017.02.015

来源: Elsevier

【 摘 要 】

We study the response of a simple quasi-geostrophic barotropic model of the atmosphere to various classes of perturbations affecting its forcing and its dissipation using the formalism of the Ruelle response theory. We investigate the geometry of such perturbations by constructing the covariant Lyapunov vectors of the unperturbed system and discover in one specific case - orographic forcing - a substantial projection of the forcing onto the stable directions of the flow. This results into a resonant response shaped as a Rossby-like wave that has no resemblance to the unforced variability in the same range of spatial and temporal scales. Such a climatic surprise corresponds to a violation of the fluctuation-dissipation theorem, in agreement with the basic tenets of nonequilibrium statistical mechanics. The resonance can be attributed to a specific group of rarely visited unstable periodic orbits of the unperturbed system. Our results reinforce the idea of using basic methods of nonequilibrium statistical mechanics and high dimensional chaotic dynamical systems to approach the problem of understanding climate dynamics. (C) 2017 Elsevier B.V. All rights reserved.

【 授权许可】

Free