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

Corentin Herbert 1, 2, * Bérengère Dubrulle 1 Pierre-Henri Chavanis 3 Didier Paillard 2
* Corresponding author
1 SPEC - UMR3680 - Service de physique de l'état condensé
2 LSCE - Laboratoire des Sciences du Climat et de l'Environnement [Gif-sur-Yvette]
3 Physique Statistique des Systèmes Complexes (LPT)
LPT - Laboratoire de Physique Théorique - IRSAMC
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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https://hal-cea.archives-ouvertes.fr/cea-00917336
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Submitted on : Wednesday, December 11, 2013 - 4:36:02 PM
Last modification on : Monday, April 29, 2019 - 5:01:29 PM

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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, American Physical Society, 2012, 85 (5), pp.056304. ⟨10.1103/PhysRevE.85.056304⟩. ⟨cea-00917336⟩

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