Packing-Limited Growth
| dc.creator | Dodds, Peter Sheridan | |
| dc.creator | Weitz, Joshua S. | |
| dc.date | 2002-03-12 | |
| dc.date | 2002-04-12 | |
| dc.date.accessioned | 2026-07-07T02:44:40Z | |
| dc.date.available | 2026-07-07T02:44:40Z | |
| dc.description | 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 d=2, 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 d=4. | |
| dc.description | 6 pages, 5 figures, 4 tables, revtex4 to appear in Phys. Rev. E, May 2002 | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0203252 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0203252 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/19020 | |
| dc.subject | Soft Condensed Matter | |
| dc.title | Packing-Limited Growth | |
| dc.type | text |