The coordination number of granular cylinders
Soft Matter Keywords
In a granular material, the average coordination number <math>\langle z\rangle</math> is defined as the average number of touching neighbors per particle. For hard spheres, <math>\langle z\rangle</math> has been well-studied and is widely-agreed upon. This is paper discusses <math>\langle z\rangle</math> for cylindrical grains. Using constraint equations, the authors prove the following equations:
|Grain Type||<math>\langle z\rangle</math>|
First, the authors prove that frictionless cylinder grains have <math>\langle z\rangle = 10</math>, which comes right out of constraint equations.
Relevance to Soft Matter
J. Blouwolff and S. Fraden. "The coordination number of granular cylinders." Europhys. Letters, 76 (6), pp. 1095-1101 (2006).