44 citations · 124 across the 10 of their papers we have counts for
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Phase transitions and marginal ensemble equivalence for freely evolving flows on a rotating sphere
Corentin Herbert, Bérengère Dubrulle, Pierre-Henri Chavanis +1
The large-scale circulation of planetary atmospheres like that of the Earth is traditionally thought of in a dynamical framework. Here, we apply the statistical mechanics theory of…
Statistical mechanics of Fofonoff flows in an oceanic basin
A. Naso, P. H. Chavanis, B. Dubrulle
We study the minimization of potential enstrophy at fixed circulation and energy in an oceanic basin with arbitrary topography. For illustration, we consider a rectangular basin an…
Statistical mechanics of two-dimensional Euler flows and minimum enstrophy states
A. Naso, P. H. Chavanis, B. Dubrulle
A simplified thermodynamic approach of the incompressible 2D Euler equation is considered based on the conservation of energy, circulation and microscopic enstrophy. Statistical eq…
Relaxation equations for two-dimensional turbulent flows with a prior vorticity distribution
P. H. Chavanis, A. Naso, B. Dubrulle
Using a Maximum Entropy Production Principle (MEPP), we derive a new type of relaxation equations for two-dimensional turbulent flows in the case where a prior vorticity distributi…