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Statistical two-vortex equilibrium and vortex merger

Chen, Peilong and Cross, M. C. (1996) Statistical two-vortex equilibrium and vortex merger. Physical Review E, 53 (4). R3032-R3035. ISSN 1063-651X. http://resolver.caltech.edu/CaltechAUTHORS:CHEpre96

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Abstract

Two-vortex solutions from the mean field equations respecting all conservation 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-vortex states is found from the crossover to instability. This could explain the merging critical ratios observed in numerical simulations and experiments.


Item Type:Article
Additional Information:©1996 The American Physical Society. Received 2 January 1996. The authors acknowledge the support of the National Science Foundation under Grant No. DMR 9013984.
Record Number:CaltechAUTHORS:CHEpre96
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:CHEpre96
Alternative URL:http://dx.doi.org/10.1103/PhysRevE.53.R3032
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10880
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:14 Jun 2008
Last Modified:26 Dec 2012 10:06

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