Numerical Calculation of Two Dimensional Random Packings of Circles

Jamming in two-dimensional packings

We investigate the existence of random close and random loose packing limits in twodimensional packings ofmonodisperse harddisks. A statisticalmechanics approach–based on several approximations to predict the probability distribution of volumes – suggests the existence of the limiting densities of the jammed packings according to their coordination number and compactivity. This result has impli...

Numerical Treatment of Geodesic Differential Equations on Two Dimensional Surfaces

This paper presents a brief instructions to nd geodesics equa-tions on two dimensional surfaces in R3. The resulting geodesic equations are solved numerically using Computer Program Matlab, the geodesics are dis-played through Figures.

Numerical study of the stress response of two-dimensional dense granular packings.

We investigate the Green function of two-dimensional dense random packings of grains in order to discriminate between the different theories of stress transmission in granular materials. Our computer simulations allow for a detailed quantitative investigation of the dynamics which is difficult to obtain experimentally. We show that both hyperbolic and parabolic models of stress transmission fai...

STATISTICAL-MECHANICAL CALCULATION OF THERMODYNAMIC PROPERTIES OF ALBITE USING A TWO-DIMENSIONAL MODEL

Jamming V: Jamming in two-dimensional packings

We investigate the existence of random close and random loose packing limits in twodimensional packings of monodisperse hard disks. A statistical mechanics approach— based on several approximations to predict the probability distribution of volumes— suggests the existence of the limiting densities of the jammed packings according to their coordination number and compactivity. This result has im...