Plasma living in a curved surface at some special temperature

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.

78 pages, 5 figures. arXiv admin note: text overlap with arXiv:0806.1075

References in corpus (5)

• Path Integral Monte Carlo Simulation of the Warm-Dense Homogeneous Electron Gas
• Two-dimensional one-component plasma on a Flamm's paraboloid
• The structure of colloidosomes with tunable particle density: simulation vs experiment
• The density of a fluid on a curved surface
• Confined Coulomb systems with absorbing boundaries: the two-dimensional two-component plasma

Cited by in corpus (3)

• Entanglement of two disjoint intervals in conformal field theory and the 2D Coulomb gas on a lattice
• Scaled Affine Quantization of Ultralocal ${\phi }_2^4$ a comparative Path Integral Monte Carlo study with Canonical Quantization
• Sum Rules in Quantum Liquids