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Caging disks and circle disk packings using a generalized ballistic-deposition model

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  • Mazzolo, Alain

Abstract

Caging of hard disk, i.e., complete arrest of all translational motions, is realized using a generalized ballistic-deposition model. Analytical solutions for statistical quantities such as the caging probability and the mean number of contact disks are derived. Results are then extended to solve the circle parking problem. Applications to (locally) random disk packings is then discussed.

Suggested Citation

  • Mazzolo, Alain, 2005. "Caging disks and circle disk packings using a generalized ballistic-deposition model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 351(2), pages 373-386.
    • Handle: RePEc:eee:phsmap:v:351:y:2005:i:2:p:373-386
    DOI: 10.1016/j.physa.2004.10.045
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    References listed on IDEAS

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    1. Philipse, Albert P. & Verberkmoes, Alain, 1997. "Statistical geometry of caging effects in random thin-rod structures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 235(1), pages 186-193.
    2. Pier P. Saviotti & Bart Nooteboom (ed.), 2000. "Technology and Knowledge," Books, Edward Elgar Publishing, number 1920.
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