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dc.contributor.authorDodds, Peter Sheridanen_US
dc.contributor.authorWeitz, Joshua S.en_US
dc.date.accessioned2010-02-05T20:01:47Z
dc.date.available2010-02-05T20:01:47Z
dc.date.issued2002-05-06
dc.identifier.citationPeter Sheridan Dodds and Joshua S. Weitz, "Packing-limited growth," Physical Review E 65, 056108 (2002)en
dc.identifier.issn1539-3755
dc.identifier.urihttp://hdl.handle.net/1853/31861
dc.description©2002 The American Physical Society. The electronic version of this article is the complete one and can be found online at: http://link.aps.org/doi/10.1103/PhysRevE.65.056108en
dc.descriptionDOI: 10.1103/PhysRevE.65.056108
dc.description.abstractWe 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.en
dc.language.isoen_USen
dc.publisherGeorgia Institute of Technologyen
dc.subjectPacking-limited growthen
dc.subjectFractal dimensionen
dc.subjectPore space volumeen
dc.subjectApollonian sphere packing
dc.titlePacking-limited growthen
dc.typeArticleen
dc.contributor.corporatenameColumbia Earth Instituteen_US
dc.contributor.corporatenameMassachusetts Institute of Technology. Dept. of Earth, Atmospheric, and Planetary Sciencesen_US
dc.contributor.corporatenameMassachusetts Institute of Technology. Dept. of Physicsen_US
dc.publisher.originalAmerican Physical Society
dc.identifier.doi10.1103/PhysRevE.65.056108


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