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Hard spheres are widely used as model particles in the statistical mechanical theory of fluids and solids. They are defined simply as impenetrable spheres that cannot overlap in space. They mimic the extremely strong repulsion that atoms and spherical molecules experience at very close distances.
Additional recommended knowledge
Hard spheres of diameter σ are particles with the following pairwise interaction potential:
where and are the positions of the two particles.
The first three virial coefficients for hard spheres can be determined analytically
Higher-order ones can be determined numerically using Monte Carlo integration. We list
|This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Hard_spheres". A list of authors is available in Wikipedia.|