Simulation of the coordination number of random sphere packing
نویسندگان
چکیده
منابع مشابه
Random Close Packing and the Hard Sphere
The Percus-Yevick theory for monodisperse hard spheres gives very good results for the pressure and structure factor of the system in a whole range of densities that lie within the gas and liquid phases. However, the equation seems to lead to a very unacceptable result beyond that region. Namely, the Percus-Yevick theory predicts a smooth behavior of the pressure that diverges only when the vol...
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Motivated by the search for best lattice sphere packings in Euclidean spaces of large dimensions we study randomly generated perfect lattices in moderately large dimensions (up to d=19 included). Perfect lattices are relevant in the solution of the problem of lattice sphere packing, because the best lattice packing is a perfect lattice and because they can be generated easily. Their number, how...
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We analyze the caging of a hard sphere (i.e., the complete arrest of all translational motions) by randomly distributed static contact points on the sphere surface for arbitrary dimension d>/=1, and prove that the average number of uncorrelated contacts required to cage a sphere is (d)=2d+1. Computer simulations, which confirm this analytical result, are also used to model the effect of corr...
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ژورنال
عنوان ژورنال: Journal of Physics: Conference Series
سال: 2020
ISSN: 1742-6588,1742-6596
DOI: 10.1088/1742-6596/1479/1/012097