Phase transitions of barotropic flow coupled to a massive rotating sphere-Derivation of a fixed point equation by the Bragg method

This model differs from previous mean field theories for quasi-2D turbulence in not fixing angular momentum nor relative enstrophy-a property which increases its applicability to coupled fluid-sphere systems and by extension to 2D turbulent flows in complex domains such as no-slip square boundaries where only the total circulation is fixed-as opposed to classical statistical equilibrium models such as the vortex gas model and Miller-Robert theories that fix all the vorticity moments. Furthermore, this Bragg mean field theory is well-defined for all positive and negative temperatures unlike the classical energy-enstrophy theories.