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Abstract
Hard sphere systems, for years, have been studied through computer simulations. In the 1950s the work on modern computing was on the rise and computers were being researched for use in every field. Statistical Mechanics was no alien to this and thus came the Monte Carlo and Molecular Dynamics simulation algorithm. The system of hard spheres was one of first Statistical Mechanics problem to be studied using these algorithms. Since then a lot of work has been put in to the computer simulation algorithms and there are much more advance computational methods for calculating these complex problems. Outside of these simulation methods the system of hard spheres have only been studied by using colloidal solutions. There has, however, almost no work been done to study the system of hard sphere experimentally and gather theoretical data. The main aim here is to use a vibratory polishing machine and gather the PIV (Particle Image Velocimetry) data for the grain motion. Then use the pixel intensity values and the grain velocities to calculate the packing fraction and dimensionless pressure for precisely chosen interrogation areas and use those values to come up with a phase diagram. The solid liquid phase change diagram has been predicted for hard sphere systems using computer simulation methods to show the effects of increasing pressure and packing fraction of the molecules on the phase change of the material and that is being replicated here experimentally using large granular media to see if it is possible.