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Phys. Rev. E 79, 031122 (2009) [8 pages]

Ultrametricity property of energy landscapes of multidisperse packing problems

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

Received 27 December 2008; published 26 March 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. The subspace of the quasioptimum configurations of this problem exhibits the property of ultrametricity.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.79.031122
DOI:
10.1103/PhysRevE.79.031122
PACS:
64.60.De, 64.75.Gh, 65.40.Ba, 89.75.Da

*schneidj@uni-mainz.de; URL: www.staff.uni-mainz.de/schneidj

andmuell@uni-mainz.de

schoemer@uni-mainz.de; URL: www.staff.uni-mainz.de/schoemer