Regensburg 2010 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 3: Complex energy landscapes (addendum to SYEL)
DY 3.7: Talk
Monday, March 22, 2010, 15:30–15:45, H42
Investigation of overlaps between quasioptimum configurations of a multidisperse packing problem — •Johannes J. Schneider, Michael Kwasnicki, Andre Müller, and Elmar Schömer — Center for Computational Research Methods in Natural Sciences, Johannes Gutenberg University of Mainz, Staudinger Weg 7, 55099 Mainz, Germany
We consider a multidisperse system of N hard disks with integer radii ri=i, i=1,…,N, which have to be packed in a circular environment in the way that the radius of the circumcircle is minimized. With our packing algorithm, which was rated by the Time Magazine to be one of the 50 best inventions of the year 2009, we were able to match or beat all world records established during an international contest, in which 155 groups from 32 countries competed [1]. Besides these new world record configurations, we obtained a huge number of quasi optimum solutions. We could show that the subspace of these quasi optimum solutions exhibits an ultrametric structure [2]. Here we have a more precise look at the matrix of overlap values between the various quasioptimum configurations and show whether block structures such as in Parisi’s solution of the SK model occur.
[1] A.M., J.J.S., E.S., Phys. Rev. E 79, 021102, 2009.
[2] J.J.S., A.M., E.S. Phys. Rev. E 79, 031122, 2009.