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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