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

May 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991phdt........43m&link_type=abstract

Ph.D. Thesis California Inst. of Tech., Pasadena.

Physics

Condensed Matter

Statistical Mechanics

1

Conservation Laws, Euler Equations Of Motion, Jupiter Red Spot, Statistical Mechanics, Computerized Simulation, Differential Equations, Equilibrium Equations, Hamiltonian Functions

Scientific paper

For the first time, a statistical mechanics is constructed for the 2-D Euler fluid which respects all conservation laws. Mean field equations are derived for the equilibrium, and it is shown that they are exact. The methods ought to apply to a wide variety of Hamiltonian systems possessing an infinite family of Casimirs. The theory is illustrated by a comparison to numerical simulations of Jupiter's Great Red Spot.

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