6533b832fe1ef96bd129ae8a

RESEARCH PRODUCT

Ultrametricity property of energy landscapes of multidisperse packing problems

Elmar SchömerJohannes J. SchneiderAndré Müller

subject

PhysicsPacking problemsProperty (philosophy)Mathematical analysisMathematics::Metric GeometryGeometryAstrophysics::Earth and Planetary AstrophysicsRadiusCircumscribed circleHeat capacityAstrophysics::Galaxy AstrophysicsEnergy (signal processing)Subspace topology

description

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.

https://doi.org/10.1103/physreve.79.031122