Exact solutions of a energy-enstrophy theory for the barotropic vorticity equation on a rotating sphere

@inproceedings{Lim2000ExactSO,
title={Exact solutions of a energy-enstrophy theory for the barotropic vorticity equation on a rotating sphere},
author={Chjan C. Lim},
year={2000}
}

The equilibrium statistical mechanics of the energy-enstrophy theory for the barotropic vorticity equation is solved exactly in the sense that a explicitly non-Gaussian configurational integral is calculated in closed form. A family of lattice vortex gas models for the barotropic vorticity equation (BVE) is derived and shown to have a well-defined nonextensive continuum limit as the coarse-graining is refined. This family of continuous-spin lattice Hamiltonians is shown to be nondegenerate… CONTINUE READING