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

10 April 2020, Version 1
This content is a preprint and has not undergone peer review at the time of posting.


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


Monte Carlo computer simulations
Phase transitions
Critical temperatures


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