Nonaxisymmetric thermal equilibria of a cylindrically bounded guidingcenter plasma or discrete vortex system
Abstract
The thermal equilibria of a twodimensional guidingcenter model for a singlespecies plasma bounded by a cylindrical conductor are considered in the microcanonical ensemble. The same description applies to identical point vortices in a twodimensional, ideal fluid surrounded by a circular streamline. The statistically dominant configurations are displaced asymmetrically from the axis, for sufficiently large energies at specified canonical angular momentum. The transition between symmetric and asymmetric states resembles a secondorder phase transition, and occurs at negative temperatures. It is related to a bifurcation in the meanfield (Vlasov) description. The theory is compared with Monte Carlo simulations of microcanonical ensembles of guiding centers.
 Publication:

Physics of Fluids B
 Pub Date:
 December 1990
 DOI:
 10.1063/1.859362
 Bibcode:
 1990PhFlB...2.2961S
 Keywords:

 Cylindrical Plasmas;
 Plasma Turbulence;
 Thermodynamic Equilibrium;
 Vlasov Equations;
 Vorticity Equations;
 Angular Momentum;
 Ideal Fluids;
 Monte Carlo Method;
 Plasma Physics