2D Coulomb Gases and the Renormalized Energy
2D Coulomb Gases and the Renormalized Energy
We study the statistical mechanics of classical two-dimensional "Coulomb gases" with general potential and arbitrary \beta, the inverse of the temperature. Such ensembles also correspond to random matrix models in some particular cases. The formal limit case \beta=\infty corresponds to "weighted Fekete sets" and also falls within our analysis. It …