STATISTICAL 2-VORTEX EQUILIBRIUM AND VORTEX MERGER

Authors
CHEN PL CROSS MC
Citation
Pl. Chen et Mc. Cross, STATISTICAL 2-VORTEX EQUILIBRIUM AND VORTEX MERGER, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 53(4), 1996, pp. 3032-3035
Citations number
25
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
53
Issue
4
Year of publication
1996
Part
A
Pages
3032 - 3035
Database
ISI
SICI code
1063-651X(1996)53:4<3032:S2EAVM>2.0.ZU;2-M
Abstract
Two-vortex solutions from the mean field equations respecting all cons ervation laws of the Euler equations in two dimensions are calculated in a unit disk. These states are compared to symmetric and off-center single-vortex solutions. A thermodynamic stability analysis is used to determine their stability and a critical separation for stable two-vo rtex states is found from the crossover to instability. This could exp lain the merging critical ratios observed in numerical simulations and experiments.