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Extremal free energy in a simple Mean Field Theory for a Coupled Barotropic fluid -- Rotating Sphere System (2007)
| Content Provider | CiteSeerX |
|---|---|
| Author | Lim, Chjan C. |
| Abstract | A family of spin-lattice models are derived as convergent finite dimensional approximations to the rest frame kinetic energy of a barotropic fluid coupled to a massive rotating sphere. A simple mean field theory for this statistical equilibrium model is formulated and solved, providing precise conditions on the planetary spin and relative enstrophy in order for phase transitions to occur at positive and negative critical temperatures, T+ and Tâ. When the planetary spin is relatively small, there is a single phase transition at T â < 0, from a preferred mixed vorticity state v = m for all positive temperatures and T < T â to an ordered pro-rotating (west to east) flow state v = nu for T â < T < 0. When the planetary spin is relatively large, there is an additional phase transition at T+> 0 from a preferred mixed state v = m above T+ to an ordered counter-rotating flow state v = nd for T < T+. 1. |
| File Format | |
| Journal | DCDS-A |
| Publisher Date | 2007-01-01 |
| Access Restriction | Open |
| Subject Keyword | Simple Mean Field Theory Extremal Free Energy Planetary Spin Barotropic Fluid Convergent Finite Dimensional Approximation Single Phase Transition Massive Rotating Preferred Mixed Vorticity State Precise Condition Phase Transition Spin-lattice Model Preferred Mixed State Ordered Counter-rotating Flow State Nd Negative Critical Temperature Additional Phase Transition Rest Frame Kinetic Energy Flow State Nu Positive Temperature Relative Enstrophy Statistical Equilibrium Model |
| Content Type | Text |
