Test of the Scaled Particle Theory with Monte Carlo Simulation

Abstract

The chemical potential of the system of hard molecules is given as logarithm of probability of insertion of a molecule to the system. The scaled particle theory is an assumption of the interpolation between the insertion probability of a infinitesimal molecule and that of a large molecule of macroscopic scale. In this study we estimate the insertion probability directly with Monte Carlo simulation and discuss the accuracy of the scaled particle theory.