Large Deviation Principles and Complete Equivalence and Nonequivalence Results for Pure and Mixed Ensembles

@inproceedings{Ellis2000LargeDP,
  title={Large Deviation Principles and Complete Equivalence and Nonequivalence Results for Pure and Mixed Ensembles},
  author={Richard S. Ellis and Kyle Haven and Bruce Turkington},
  year={2000}
}
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 dispersive waves. First, large deviation principles are proved for the canonical ensemble and the microcanonical ensemble. For each ensemble the set of equilibrium macrostates is defined as the set on which the corresponding rate function attains its minimum of 0. We then present complete equivalence and… CONTINUE READING
Highly Cited
This paper has 51 citations. REVIEW CITATIONS

Citations

Publications citing this paper.

52 Citations

05'00'04'09'14'19
Citations per Year
Semantic Scholar estimates that this publication has 52 citations based on the available data.

See our FAQ for additional information.

References

Publications referenced by this paper.
Showing 1-10 of 42 references

A large deviation approach to soliton turbulence for the nonlinear Schro dinger equation, in preparation

R. S. Ellis, R. Jordan, B. Turkington
2000
View 3 Excerpts
Highly Influenced

Statistical equilibrium measures and coherent states in two-dimensional turbulence, Commun

B. Turkington
Pure Appl. Math 52:781 • 1999

Prototype geophysical vortex structures via large-scale statistical theory, Geophys. Astrophys

M. DiBattista, A. Majda, B. Turkington
Fluid Dyn. 89:235 • 1998

A Weak Convergence Approach to the Theory of Large Deviations

P. Dupuis, R. S. Ellis
1997

The micro-canonical point vortex ensemble: beyond

M.K.-H. Kiessling, Joel L. Lebowitz
equivalence, Lett. Math. Phys. 42:43 • 1997

Similar Papers

Loading similar papers…