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Updated: May 25, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Monte Carlo study of four dimensional binary hard hypersphere mixtures
Marvin Bishop1, Paula A Whitlock
1Department of Mathematics/Computer Science, Manhattan College, Manhattan College Parkway, Riverdale, New York 10471, USA. marvin.bishop@manhattan.edu
Abstract:
A multithreaded Monte Carlo code was used to study the properties of binary mixtures of hard hyperspheres in four dimensions. The ratios of the diameters of the hyperspheres examined were 0.4, 0.5, 0.6, and 0.8. Many total densities of the binary mixtures were investigated. The pair correlation functions and the equations of state were determined and compared with other simulation results and theoretical predictions. At lower diameter ratios the pair correlation functions of the mixture agree with the pair correlation function of a one component 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.
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