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Plasma living in a curved surface at some special temperature

Author

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  • Fantoni, Riccardo

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=e2∕2kB, with kB 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.

Suggested Citation

  • Fantoni, Riccardo, 2019. "Plasma living in a curved surface at some special temperature," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 524(C), pages 177-220.
    • Handle: RePEc:eee:phsmap:v:524:y:2019:i:c:p:177-220
    DOI: 10.1016/j.physa.2019.04.222
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