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We consider a general class of statistical mechanical models of coherent structures in turbulence, which includes models of two-dimensional fluid motion, quasi-geostrophic flows, and dispersiveâ€¦ (More)

- Bruce Turkington, Andrew Majda, Kyle Haven, Michael DiBattista
- Proceedings of the National Academy of Sciencesâ€¦
- 2001

An equilibrium statistical theory of coherent structures is applied to midlatitude bands in the northern and southern hemispheres of Jupiter. The theory imposes energy and circulation constraints onâ€¦ (More)

Here Î¸ is a probability measure on a Polish space , Dr k k = 1 2r is a dyadic partition of (hence the use of 2r summands) satisfying Î¸ Dr k = 1/2r and Lq 1 Lq 2 Lq 2r is an independent, identicallyâ€¦ (More)

This paper shows for a general class of statistical mechanical models that when the microcanonical and canonical ensembles are nonequivalent on a subset of values of the energy, there often exists aâ€¦ (More)

This short paper presents a nontechnical introduction to the problem of nonequivalent microcanonical and canonical ensembles. Both the thermodynamic and the macrostate levels of de-nition ofâ€¦ (More)

Statistical equilibrium models of coherent structures in two-dimensional and barotropic quasi-geostrophic turbulence are formulated using canonical and microcanonical ensembles, and the equivalenceâ€¦ (More)

The continuum limit of lattice models arising in two-dimensional turbulence is analyzed by means of the theory of large deviations. In particular, the Miller Robert continuum model of equilibriumâ€¦ (More)

- Bruce Turkington, Nathaniel Whitaker
- SIAM J. Scientific Computing
- 1996

A numerical method is developed to treat the statistical equilibrium model of coherent structures in two-dimensional turbulence. In this model the vorticity, which fluctuates on a microscopic scale,â€¦ (More)

- M Costeniuc, Richard S. Ellis, Hugo Touchette, Bruce Turkington
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2006

This paper is a companion piece to our previous work [J. Stat. Phys. 119, 1283 (2005)], which introduced a generalized canonical ensemble obtained by multiplying the usual Boltzmann weight factor ofâ€¦ (More)

Statistical equilibrium lattice models of coherent structures in geostrophic turbulence, formulated by discretizing the governing Hamiltonian continuum dynamics, are analyzed. The first set ofâ€¦ (More)