Dresden 2009 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 7: Statistical physics II (general)

DY 7.8: Talk

Tuesday, March 24, 2009, 11:45–12:00, HÜL 386

Ultrametricity structure in the subspace of quasi optimum configurations of packing problems — •Johannes Josef Schneider, Andre Müller, and Elmar Schömer — Department of Physics, Mathematics, and Computer Science, Johannes Gutenberg University of Mainz, Staudinger Weg 7, 55099 Mainz, Germany

We consider the problem of finding the densest closed packing of hard discs with proposed different radii in a circular environment, such that the radius of the circumcircle is minimal. With our heuristic optimization approach based on simulated annealing, we are able to get optimum and quasi optimum configurations for this packing problem [1]. The subspace of these configurations exhibits the property of ultrametricity,

[1] André Müller, Johannes J. Schneider, Elmar Schömer, Packing a multidisperse system of hard discs in a circular environment, accepted by Phys. Rev. E, 2008.