Edge modes of the Helmholtz–Onsager gas in a multiply connected domain

Richard McQueen, Chjan C. Lim
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Abstract

The vortex gas is an approximation used to study 2D flow using statistical mechanics methodologies. We investigate low positive Onsager temperature states for the vortex gas on an annular domain. Using mean field theory, microcanonical sampling of the point gas model, and canonical sampling of a lattice model, we find evidence for edge modes at low energy states.
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多连通域中的亥姆霍兹-昂萨格气体边缘模式
涡流气体是利用统计力学方法研究二维流动的一种近似方法。我们研究了环形域上涡旋气体的低正昂萨格温度状态。利用均值场理论、点状气体模型的微规范采样和晶格模型的规范采样,我们发现了低能态边缘模式的证据。
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