Pl. Chen et Mc. Cross, COMPLETE PHASE-DIAGRAM FOR COHERENT VORTEX FORMATION IN A 2-DIMENSIONAL INVISCID FLUID IN AN ANNULUS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(2), 1997, pp. 2284-2286
By calculating the two-dimensional solutions and the second-order bifu
rcation analysis of the mean fic lct equations of a two-dimensional id
eal fluid, we are able to complete the phase diagram of coherent corte
x formation in an annulus, which we have partially calculated in a pre
vious paper [Phys. Rev. E 50, 2022 (1994)]. The complete phase diagram
demonstrates the advantage of the statistical mechanics approach to d
etermine the final equilibrium directly from the initial condition.