title: Statistical mechanics of axisymmetric vortex rings.
abstract: We construct maximum entropy states of a collection of interacting uniform (omega/R=const) axisymmetric vortex rings in a semiperiodic bounded volume. Following Miller [Phys. Rev. Lett. 65, 2137 (1990)] and Robert and Sommeria [J. Fluid Mech. 229, 291 (1991)], we obtain an equilibrium measure that preserves all the ideal invariants such as the total energy, total impulse, circulation, and an infinity of Casimirs. The numerical solution for a wide range of total flow energy and for given values of total circulation and total impulse is presented.
authors.affiliation: Institute for Plasma Research, Bhat, Gandhinagar 382 428, India. ganu@kitty.postech.ac.kr
authors.forename: R
authors.initials: R
authors.lastname: Ganesh
authors.forename: K
authors.initials: K
authors.lastname: Avinash