Higher Dimensional Coulomb Gases and Renormalized Energy Functionals

@inproceedings{Rougerie2013HigherDC,
  title={Higher Dimensional Coulomb Gases and Renormalized Energy Functionals},
  author={Nicolas Rougerie and Sylvia Serfaty},
  year={2013}
}
We consider a classical system of n charged particles in an external confining potential, in any dimension d ≥ 2. The particles interact via pairwise repulsive Coulomb forces and the coupling parameter is of order n (mean-field scaling). By a suitable splitting of the Hamiltonian, we extract the next to leading order term in the ground state energy, beyond… CONTINUE READING