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Relation between grain shape and fractal properties in random Apollonian packing with grain rotation.

Delaney, GW; Hutzler, S; Aste, T; (2008) Relation between grain shape and fractal properties in random Apollonian packing with grain rotation. Physical Review Letters , 101 (12) , Article 120602. 10.1103/PhysRevLett.101.120602. Green open access

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Abstract

We extend the common theme of random Apollonian packing of circles to consider orientable grains with a noncircular shape. Systems of up to 10(6) 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 D_c 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.

Type: Article
Title: Relation between grain shape and fractal properties in random Apollonian packing with grain rotation.
Location: US
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevLett.101.120602
Publisher version: http://dx.doi.org/10.1103/PhysRevLett.101.120602
Language: English
Additional information: © 2008 The American Physical Society
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science
URI: https://discovery.ucl.ac.uk/id/eprint/1360832
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