Flamm抛物面上的二维单组分等离子体
Two-dimensional one-component plasma on a Flamm's paraboloid
摘要：
本文研究了由Schwarzschild度规空间部分得到的黎曼曲面（Flamm抛物面）上库仑耦合γ =2的经典非相对论二维单组分等离子体。在这个特殊的耦合常数值下，系统的统计力学是精确解析可解的。得到了大系统的亥姆霍兹自由能渐近展开式，详细研究了热力学极限下各种情况下等离子体的密度。
英文摘要：
We study the classical non-relativistic two-dimensional one-component plasma at Coulomb coupling Gamma=2 on the Riemannian surface known as Flamm's paraboloid which is obtained from the spatial part of the Schwarzschild metric. At this special value of the coupling constant, the statistical mechanics of the system are exactly solvable analytically. The Helmholtz free energy asymptotic expansion for the large system has been found. The density of the plasma, in the thermodynamic limit, has been carefully studied in various situations.
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