Plasma living in a curved surface at some special temperature
Statistical Mechanics
2020-07-21 v1 Materials Science
Classical Physics
Plasma Physics
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 , in thermal equilibrium at a temperature , with 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.
Keywords
Cite
@article{arxiv.1904.04066,
title = {Plasma living in a curved surface at some special temperature},
author = {Riccardo Fantoni},
journal= {arXiv preprint arXiv:1904.04066},
year = {2020}
}
Comments
78 pages, 5 figures. arXiv admin note: text overlap with arXiv:0806.1075