Plasma living in a curved surface at some special temperature

Riccardo Fantoni

Physica A: Statistical Mechanics and its Applications, 2019, vol. 524, issue C, 177-220

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.

Keywords: Classical statistical physics; Plasma; Riemannian surfaces; Curvature; Coulomb potential; Partition function; Densities; Exact analytic solution (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:524:y:2019:i:c:p:177-220

DOI: 10.1016/j.physa.2019.04.222

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