Ultrametricity property of energy landscapes of multidisperse packing problems.
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.
Schneider
Johannes J
JJ
Department of Physics, Mathematics, and Computer Science, Johannes Gutenberg University of Mainz, Staudinger Weg 7, 55099 Mainz, Germany. schneidj@uni-mainz.de
Müller
André
A
Schömer
Elmar
E