Plasma living in a curved surface at some special temperature

Riccardo Fantoni

doi:10.1016/j.physa.2019.04.222

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arXiv · 1904.04066

Plasma living in a curved surface at some special temperature

Riccardo Fantoni

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Abstract

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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cond-mat.stat-mech cond-mat.mtrl-sci physics.class-ph physics.plasm-ph

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Riccardo Fantoni. 2019-04-05. Plasma living in a curved surface at some special temperature. https://doi.org/10.1016/j.physa.2019.04.222

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