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Updated: Jun 15, 2026

Combining Microfluidics and Microrheology to Determine Rheological Properties of Soft Matter during Repeated Phase Transitions
Published on: April 19, 2018
The fluid to solid phase transition of hard hyperspheres in four and five dimensions
L Lue1, Marvin Bishop, Paula A Whitlock
1School of Chemical Engineering and Analytical Science, The University of Manchester, P.O. Box 88, Sackville Street, Manchester M60 1QD, United Kingdom. leo.lue@manchester.ac.uk
Abstract:
Molecular dynamics and Monte Carlo simulations are performed for four- and five-dimensional hard hyperspheres at a variety of densities, ranging from the fluid state to the solid regime of A(4), D(4), D(4)*, and D(5) lattices. The equation of state, the radial distribution functions, and the average number of hyperspheres in a coordination layer are determined. The equations of state are in excellent agreement with values obtained from both theoretical approaches and other simulations. The results for the average number of hyperspheres in a coordination layer are in agreement with the theoretical predictions for the different lattices. The radial distribution function gives better insight about the fluid to solid transition than the equation of state.
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