Citation
Miller, Jonathan (1991) Statistical mechanics of two-dimensional Euler equations and Jupiter's great red spot. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/R250-6482. https://resolver.caltech.edu/CaltechETD:etd-07182007-073652
Abstract
For the first time, we construct a statistical mechanics for the two-dimensional Euler fluid which respects all conservation laws. We derive mean-field equations for the equilibrium, and show that they are exact. Our methods ought to apply to a wide variety of Hamiltonian systems possessing an infinite family of Casimirs. We illustrate our theory by a comparison to numerical simulations of Jupiter's Great Red Spot.
| Item Type: | Thesis (Dissertation (Ph.D.)) |
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| Degree Grantor: | California Institute of Technology |
| Division: | Physics, Mathematics and Astronomy |
| Major Option: | Physics |
| Thesis Availability: | Public (worldwide access) |
| Research Advisor(s): |
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| Thesis Committee: |
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| Defense Date: | 17 October 1990 |
| Record Number: | CaltechETD:etd-07182007-073652 |
| Persistent URL: | https://resolver.caltech.edu/CaltechETD:etd-07182007-073652 |
| DOI: | 10.7907/R250-6482 |
| Default Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. |
| ID Code: | 2921 |
| Collection: | CaltechTHESIS |
| Deposited By: | Imported from ETD-db |
| Deposited On: | 02 Aug 2007 |
| Last Modified: | 20 Dec 2019 19:30 |
Thesis Files
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