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


7 pages, 3 figures; accepted for publication in Physical Review EInternational audienceThe 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

Similar works

Full text

oaioai:HAL:cea-00917336v1Last time updated on 11/12/2016

This paper was published in HAL-CEA.

Having an issue?

Is data on this page outdated, violates copyrights or anything else? Report the problem now and we will take corresponding actions after reviewing your request.