Files

2002_weitz_PRE_001.pdf (106.5 KB)

Authors

Dodds, Peter Sheridan
Weitz, Joshua S.

Authors

Person

Weitz, Joshua S.

Advisors

Advisors

Associated Organizations

Organizational Unit

College of Sciences

Organizational Unit

School of Biological Sciences

Series

Collections

Research Publications

Supplementary to

Permanent Link

http://hdl.handle.net/1853/31861

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.

Sponsor

Date Issued

2002-05-06

Extent

Resource Type

Text

Resource Subtype

Article

Rights Statement

Rights URI