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The Force-Biased Algorithm for the Irregular Close Packing of Equal Hard Spheres
Authors:J. Mościński  M. Bargieł  Z. A. Rycerz  P. W. M. Jacobs
Affiliation:1. Institute of Computer Science , AGH, al. Mickiewicza 30, 30-059 , Kraków , Poland;2. University of Western Ontario , London , Ontario , N6A 5B7 , Canada;3. Institute of Computer Science , AGH, al. Mickiewicza 30, 30-059 , Kraków , Poland;4. University of Western Ontario , London , Ontario , N6A 5B7 , Canada
Abstract:Abstract

We present a “force-biased” algorithm for generating the irregular close packing of hard spheres. The algorithm is partly based on Jodrey and Tory's ideas [9] and incorporates methods from Molecular Dynamics. Packings generated by means of the two algorithms are consistent up to final packing fraction of 0.65, which seems to be the limit density of Jodrey and Tory's method. Significantly higher densities (up to 0.71) can be achieved for small numbers of spheres by the force-biased algorithm. However the shape of the radial and angle distribution functions implies that a partial short-range ordering occurs in packings of those densities.
Keywords:Irregular close packing  computer simulation  molecular dynamics methods
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