Monte Carlo Study of a Liquid-Liquid Phase Transition Using a Modified Gibbs Ensemble

<div>The carbon disulfide-methanol liquid-liquid critical point is studied using a Monte</div><div>Carlo simulation of classical Stockmayer particles. A low energy configuration for the segregated</div><div>two component system is determined using standard Monte Carlo methods then a modified</div><div>Gibbs ensemble is employed to study the effect of transferring particles from one phase to</div><div>another. Rather than use the model for the entropy of mixing in the Gibbs ensemble, which is</div><div>of the regular solution type, a semi-quasi-chemical model is used which involves an interaction</div><div>energy. We are able to simulate the mixing of the two components as the temperature approaches</div><div>the critical temperature from below. Further, a method is given whereby the simulation results</div><div>can be used to predict the critical temperature.</div>