Chen, Peilong and Cross, M. C. (1996) Statistical two-vortex equilibrium and vortex merger. Physical Review E, 53 (4). R3032-R3035. ISSN 1063-651X. doi:10.1103/PhysRevE.53.R3032. https://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 | ||||||
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| 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. | ||||||
| Issue or Number: | 4 | ||||||
| DOI: | 10.1103/PhysRevE.53.R3032 | ||||||
| Record Number: | CaltechAUTHORS:CHEpre96 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:CHEpre96 | ||||||
| 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: | 08 Nov 2021 21:11 |
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