On lattices with finite Coulombian interaction energy in the plane

Abstract

Given a discrete set $\Lambda$ in the plane (we will also say a {\em lattice}) and a real number $m\ge 0$, the renormalized energy introduced in \cite{ss1} heuristically describes the interaction energy of unit charges placed at the points of $\Lambda$ with a uniform negative background of density $m\in \mathbb{R}$. It is defined in several steps, following mostly \cite{ss1}.

References in corpus (1)

• 1D Log Gases and the Renormalized Energy: Crystallization at Vanishing Temperature