Ndependence in the classical one-component plasma Monte Carlo calculations

Abstract

We calculate the internal energy of the classical one-component plasma using a Monte Carlo technique for 128, 250, 432, 686, and 1024 particles for $1<\mathrm{}\Gamma <300\mathrm{}$ in order to determine the effect of a differing number of particles on the thermodynamics. By fitting the internal energy to a function of $\Gamma$ and $N$ (the particle number), we find the free energy for both the liquid and solid for an infinite number of particles.