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Statistical equilibrium distributions of baroclinic vortices in a rotating two-layer model at low Froude numbers 5
| Content Provider | Semantic Scholar |
|---|---|
| Author | Assad, Syed Muhamad Lim, Chjan C. |
| Copyright Year | 2006 |
| Abstract | 10 The point-vortex equilibrium statistical model of two-layer baroclinic quasigeostrophic vortices in an unbounded f-plane is examined. A key conserved quantity, angular momentum, serves to confine the vortices to a compact domain, thereby justifying the statistical mechanics model, and also eliminating the need for boundary conditions in a practical method for its resolution. The Metropolis method provides a fast and efficient algorithm for solving the 15 mean field non-linear elliptic PDEs of the equilibrium statistical theory. A verification of the method is done by comparison with the exact Gaussian solution at the no interaction limit of zero inverse temperature. The numerical results include a geophysically and computationally relevant power law for the radii at which the most probable vortex distribution is non-vanishing: For fixed total circulation, and fixed average angular momentum, the radii of 20 both layers are proportional to the square root of the inverse temperature. By changing the chemical potentials " of the runs, one is able to model the most probable vorticity distributions for a wide range of total circulation and energy. The most probable vorticity distribution obtained at low positive temperatures are consistently close to a radially symmetric flat-top profiles. At high temperatures, the radially symmetric vorticity profiles are close to the 25 Gaussian distribution. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.rpi.edu/~limc/barogafd.pdf |
| Alternate Webpage(s) | http://homepages.rpi.edu/~limc/barogafd.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | AngularJS Arabic numeral 0 Diarrhea Kind of quantity - Equilibrium Metropolis Metropolis–Hastings algorithm Nonlinear system Normal Statistical Distribution Numerical analysis Probability Quantum vortex Statistical Mechanics Statistical model Verification of Theories anatomical layer |
| Content Type | Text |
| Resource Type | Article |
