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Journal Articles Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Year : 2012

Phase transitions and marginal ensemble equivalence for freely evolving flows on a rotating sphere

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Abstract

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 turbulent flows to a simplified model of the global atmosphere, the quasi-geostrophic model, leading to non-trivial equilibria. Depending on a few global parameters, the structure of the flow may be either a solid-body rotation (zonal flow) or a dipole. A second order phase transition occurs between these two phases, with associated spontaneous symmetry-breaking in the dipole phase. This model allows us to go beyond the general theory of marginal ensemble equivalence through the notion of Goldstone modes.
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cea-00917336 , version 1 (04-05-2022)

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Corentin Herbert, Bérengère Dubrulle, Pierre-Henri Chavanis, Didier Paillard. Phase transitions and marginal ensemble equivalence for freely evolving flows on a rotating sphere. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2012, 85 (5), pp.056304. ⟨10.1103/PhysRevE.85.056304⟩. ⟨cea-00917336⟩
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