Simpler Variational Problem for Statistical Equilibria of the 2D Euler Equation and Other Systems with Long Range Interactions
Statistical Mechanics
2009-11-13 v1 Pattern Formation and Solitons
Abstract
The Robert-Sommeria-Miller equilibrium statistical mechanics predicts the final organization of two dimensional flows. This powerful theory is difficult to handle practically, due to the complexity associated with an infinite number of constraints. Several alternative simpler variational problems, based on Casimir's or stream function functionals, have been considered recently. We establish the relations between all these variational problems, justifying the use of simpler formulations.
Cite
@article{arxiv.0710.5094,
title = {Simpler Variational Problem for Statistical Equilibria of the 2D Euler Equation and Other Systems with Long Range Interactions},
author = {Freddy Bouchet},
journal= {arXiv preprint arXiv:0710.5094},
year = {2009}
}
Comments
5 pages, submited to Physica D