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Phys. Rev. E 79, 021102 (2009) [14 pages]

Packing a multidisperse system of hard disks in a circular environment

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André Müller, Johannes J. Schneider, and Elmar Schömer*
Department of Physics, Mathematics, and Computer Science, Johannes Gutenberg University of Mainz, Staudinger Weg 7, 55099 Mainz, Germany

Received 11 July 2008; revised 27 December 2008; published 2 February 2009

We consider the problem of finding the densest closed packing of hard disks with proposed different radii in a circular environment, such that the radius of the circumcircle is minimal. With our approach, we are able to find denser packings for various problem instances than known from the literature. Both for the dynamics of the simulation and for the optimum values of the radii of the circumcircles, we find various scaling laws.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.79.021102
DOI:
10.1103/PhysRevE.79.021102
PACS:
64.60.De, 64.75.Gh, 65.40.Ba, 89.75.Da

*{andmuell,schneidj,schoemer}@uni-mainz.de; URL: www.staff.uni-mainz.de/{schneidj,schoemer}