Five dimensional binary hard hypersphere mixtures: A Monte Carlo study.

Additive binary mixtures of five dimensional hyperspheres were investigated by Monte Carlo simulations. Both equal packing fraction and equal mole fraction systems with diameter ratios of 0.4 and 0.5 were examined. A range of total densities were studied, spanning low to moderate density fluids. The pair correlation functions and the equations of state were determined and compared with molecular dynamics data and a variety of theoretical predictions. A significant result of the equal packing fraction simulations was the discovery of how quickly the larger hyperspheres reorganized into a dense fluid after a random initial placement. In the equal mole fraction case, the pair correlation functions for the larger hypersphere agree with the pair correlation function of a pure fluid at an appropriately scaled density. The theoretical results for the equation of state compare well to the Monte Carlo calculations for all but the highest densities studied.