The Super and Sub-Rotation Of Barotropic Atmospheres On A Rotating Planet
نویسنده
چکیده
A statistical mechanics canonical spherical energy-enstrophy theory of the super-rotation phenomenon in a quasi-2D barotropic fluid coupled by inviscid topographic torque to a rotating solid body, is solved in closed form in Fourier space, with inputs on the value of the energy to enstrophy quotient of the fluid, and two planetary parameters radius of the planet and its rate and axis of spin. This allows calculations that predict the following physical consequences:(A) two critical points associated with the condensation of high and low energy (resp.) states in the form of distinct super-rotating and sub-rotating (resp.) solid-body flows, (B) only solid-body flows having wavenumbers l = 1, m = 0 tiltless rotations are excited in the ordered phases, (C) the asymmetry between the super-rotating and sub-rotating ordered phases where the sub-rotation phase transition requires moreover that the planetary spin is sufficiently large, and thus, less commonly observed than the super-rotating phase, (D) non-excitation of spherical modes with wavenumber l > 1 in barotropic fluids. Comparisons to other canonical, microcanonical and dynamical theories suggests that this theory complements and completes older theories by predicting the above specific outcomes.
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