旋转球上自由发展流动的相变和边际系综等价性
Phase transitions and marginal ensemble equivalence for freely evolving flows on a rotating sphere
摘要：
传统上认为，像地球大气一样的行星大气的大尺度环流是在动力学框架内进行的。在这里，我们应用统计力学理论的湍流的简化模型的全球大气，准地转模型，导致非平凡的平衡。根据一些全局参数，流动的结构可能是固体旋转（纬向流）或偶极子。在这两个相之间发生二级相变，在偶极相中伴随有自发对称性破缺。这个模型使我们能够超越一般理论的边际合奏等效通过戈德斯通模式的概念。
英文摘要：
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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