R. Delannay et G. Lecaer, TOPOLOGICAL CHARACTERISTICS OF 2D CELLULAR STRUCTURES GENERATED BY FRAGMENTATION, Physical review letters, 73(11), 1994, pp. 1553-1556
Stationary topological properties of 2D cellular structures generated
by random fragmentation have been calculated by computer simulations.
The probability distributions of the number n of cell sides agree with
a recent mean-field model. Two-cell correlations are almost linear in
n. The most disordered structure approaches a ''topological gas'' wit
h weak correlations in the arrangement of cells. Variation with disord
er of the Aboav-Weaire parameter is discussed for 2D cellular structur
es.