Relation Between Grain Shape and Fractal Properties in Random Apollonian Packing with Grain Rotation

Delaney, Gary W. and Hutzler, Stefan and Aste, Tomaso (2008) Relation Between Grain Shape and Fractal Properties in Random Apollonian Packing with Grain Rotation. Physical Review Letters: Moving Physics Forward, 101 (12). ISSN 0031-9007. (Full text available)

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http://dx.doi.org/10.1103/PhysRevLett.101.120602

Abstract

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.

Item Type: Article
Subjects: Q Science
Divisions: Faculties > Science Technology and Medical Studies > School of Physical Sciences > Functional Materials Group
Depositing User: Tomaso Aste
Date Deposited: 20 Mar 2012 16:14
Last Modified: 01 Jul 2014 10:42
Resource URI: http://kar.kent.ac.uk/id/eprint/29177 (The current URI for this page, for reference purposes)
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