Statistical Mechanics of Two-Dimensional Euler Equations and Jupiter's Great Red SPOT.

Details Statistical Mechanics of Two-Dimensional Euler Equations and Jupiter's Great Red SPOT. Statistical Mechanics of Two-Dimensional Euler Equations and Jupiter's Great Red SPOT.

Feb 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991phdt........74m&link_type=abstract

Thesis (PH.D.)--CALIFORNIA INSTITUTE OF TECHNOLOGY, 1991.Source: Dissertation Abstracts International, Volume: 52-01, Section: B

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

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.

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