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    Packing-limited growth

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    2002_weitz_PRE_001.pdf (106.5Kb)
    Date
    2002-05-06
    Author
    Dodds, Peter Sheridan
    Weitz, Joshua S.
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    Abstract
    We consider growing spheres seeded by random injection in time and space. Growth stops when two spheres meet leading eventually to a jammed state. We study the statistics of growth limited by packing theoretically in d dimensions and via simulation in d52, 3, and 4. We show how a broad class of such models exhibit distributions of sphere radii with a universal exponent. We construct a scaling theory that relates the fractal structure of these models to the decay of their pore space, a theory that we confirm via numerical simulations. The scaling theory also predicts an upper bound for the universal exponent and is in exact agreement with numerical results for d54.
    URI
    http://hdl.handle.net/1853/31861
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    • School of Biology Faculty Publications [227]

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