Delaney G W, Hutzler S and Aste T, Relation between grain shape and fractal properties in random Apollonian packing with grain rotation, Physical Review Letters, 101, 2008, 120602-
Physical Review Letters 101
We extend the common theme of random Apollonian packing of circles to consider orientable grains
with a noncircular shape. Systems of up to 106 grains are examined for a range of polygonal and elliptical
shapes using both the random Apollonian packing model and the new rotational random Apollonian
packing model which takes into account the extra rotational degree of freedom of noncircular grains. We
identify the constraining length Dc that limits growth of the grain during the packing process and find that
a universal relation exists between grain shape and the scaling properties of the system.
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