Jamming in two-dimensional packings |
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Authors: | Sam Meyer Yuliang Jin Hernán A Makse |
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Institution: | a Laboratoire de physique de l’ENS Lyon, CNRS UMR 5672, Universite de Lyon, Franceb Levich Institute and Physics Department, City College of New York, New York, NY 10031, USA |
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Abstract: | We investigate the existence of random close and random loose packing limits in two-dimensional packings of monodisperse hard disks. A statistical mechanics approach-based on several approximations to predict the probability distribution of volumes-suggests the existence of the limiting densities of the jammed packings according to their coordination number and compactivity. This result has implications for the understanding of disordered states in the disk packing problem as well as the existence of a putative glass transition in two-dimensional systems. |
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Keywords: | Random packings Volume function Disordered system |
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