 
Summary: Specific Surface Area and Volume Fraction of the CherryPit Model with Packed Pits
A. Elsner,*,
A. Wagner,
T. Aste,§
H. Hermann,
and D. Stoyan
Institute for Solid State and Materials Research, IFW Dresden, P.O. Box 270116, D01171 Dresden, Germany,
Institute for Stochastics, TU Bergakademie Freiberg, D09596 Freiberg, Germany, and Department of Applied
Mathematics, Research School of Physical Sciences and Engineering, The Australian National UniVersity,
0200 Australia
ReceiVed: July 30, 2008; ReVised Manuscript ReceiVed: March 9, 2009
This paper investigates volume fraction and specific surface area s for statistically homogeneous systems
of partially penetrating spheres, i.e. socalled `cherrypit models'. In contrast to the version where the pits
form an equilibrium system of hard spheres, here pits or hard spheres are considered which are packed, can
be in direct contact, and form a nonequilibrium distribution. For this kind of system, new formulas for and
s are given, which yield values in good agreement with the ones for large models constructed from hard
sphere packings generated both experimentally and numerically. Surprisingly, the existing formulas for
and s in the equilibrium cherrypit model lead to values which deviate substantially from the values obtained
here.
1. Introduction
