特定温度下曲面上的等离子体
Plasma living in a curved surface at some special temperature
摘要：
二维库仑等离子体的最简单的统计力学模型在某些特定温度下在几个曲面上都有精确的解析解。我们目前在一个统一的角度来看，这些解决方案的（非量子）等离子体，点粒子携带绝对电荷$e$，在热平衡的温度$T=e^2/2k_B$，与$k_B$玻尔兹曼常数，讨论的重要性，有一个精确的解决方案，表面的曲率的作用，和等离子体的密度。
英文摘要：
The simplest statistical mechanics model of a Coulomb plasma in two spatial dimensions admits an exact analytic solution at some special temperature in several (curved) surfaces. We present in a unifying perspective these solutions for the (non-quantum) plasma, made of point particles carrying an absolute charge $e$, in thermal equilibrium at a temperature $T=e^2/2k_B$, with $k_B$ Boltzmann's constant, discussing the importance of having an exact solution, the role of the curvature of the surface, and the densities of the plasma.
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