Analysis of statistical equilibrium models of geostrophic turbulence

The equilibrium statistical mechanics of simple quasi-geostrophic models

We have applied the methods of classical statistical mechanics to derive the inviscid equilibrium states for oneand two-layer nonlinear quasi-geostrophic flows, with and without bottom topography and variable rotation rate. In the one-layer case without topography we recover the equilibrium energy spectrum given by Kraichnan (1967). In the two-layer case, we find that the internal radius of def...

Gyrokinetic statistical absolute equilibrium and turbulence

woman-defined identity: analysis of selected poems of adrienne rich

the current thesis is composed in five chapters in the following fashion: chapter two encompasses the applied framework of the project in details; the methodology of carl gustav jung to explain the process of individuation, the major archetypes and their attributes and his techniques to assess the mind’s strata are all explained. moreover, the austrian psychoanalysts, heinz kohut’s models of a...

Orientation of eddy fluxes in geostrophic turbulence.

Given its importance in parametrizing eddies, we consider the orientation of eddy flux of potential vorticity (PV) in geostrophic turbulence. We take two different points of view, a classical ensemble- or time-average point of view and a second scale decomposition point of view. A net alignment of the eddy flux of PV with the appropriate mean gradient or the large-scale gradient of PV is requir...

Effects of anisotropy in geostrophic turbulence

The Boussinesq model of convection in a flat layer with heating from below is considered. We analyze the effects of anisotropy caused by rapid rotation in physical and wave spaces and demonstrate the suppression of energy transfer by rotation. We also examine the structure of the wave triangle in nonlinear interaction. The range of parameters is adapted to the models of convection in the geodyn...