Numerical simulations of screened Coulomb systems. A comparison between hyperspherical and periodic boundary conditions

Numerical simulations or Coulomb systems can be performed in various geometries, for instance in a cube with periodic boundary conditions(F-3) or on the surface of a hypersphere (I-3). We show how to extend these methods of simulations to the case of screened (Yukawa) potentials. WE make a detailed comparison between the properties of Yukawa systems in these two geometries and derive the correct configurational energies of some models such as the Yukawa restricted primitive model and the Yukawa one component plasma.