6533b872fe1ef96bd12d3928

RESEARCH PRODUCT

Packing a multidisperse system of hard disks in a circular environment.

Johannes J. SchneiderElmar SchömerAndré Müller

subject

Scaling lawMathematics::Metric GeometryGeometryAstrophysics::Earth and Planetary AstrophysicsRadiusCircumscribed circleHeat capacityAstrophysics::Galaxy AstrophysicsMathematics

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. With our approach, we are able to find denser packings for various problem instances than known from the literature. Both for the dynamics of the simulation and for the optimum values of the radii of the circumcircles, we find various scaling laws.

10.1103/physreve.79.021102https://pubmed.ncbi.nlm.nih.gov/19391701