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摘要翻译：
本文给出了任意区域内一大类二维和地球物理流模型的平衡状态的理论描述。我们首次用显式计算说明了这些模型中系综不等价性和负比热的存在性。我们给出了确定相变位置和类型的一个判据的精确理论计算。值得注意的是，这个准则不依赖于模型，而只依赖于域几何。我们报告了在具有长程相互作用的系统中的第一个双晶点和二级共沸的例子。
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英文标题：
《Ensemble inequivalence, bicritical points and azeotropy for generalized
Fofonoff flows》
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作者：
Antoine Venaille (INLN, LEGI), Freddy Bouchet (INLN)
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
We present a theoretical description for the equilibrium states of a large class of models of two-dimensional and geophysical flows, in arbitrary domains. We account for the existence of ensemble inequivalence and negative specific heat in those models, for the first time using explicit computations. We give exact theoretical computation of a criteria to determine phase transition location and type. Strikingly, this criteria does not depend on the model, but only on the domain geometry. We report the first example of bicritical points and second order azeotropy in the context of systems with long range interactions.
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PDF链接：
https://arxiv.org/pdf/710.5606
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