Packing-limited growth of irregular objects

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Packing-limited growth of irregular objects

P. S. Dodds and J. S. Weitz

Physical Review E, 67, 016117, 2003

arXiv version | arXiv page | journal version | journal page

Times cited: 21

Abstract:

We study growth limited by packing for irregular objects in two dimensions. We generate packings by seeding objects randomly in time and space and allowing each object to grow until it collides with another object. The objects we consider, allow us to investigate the separate effects of anisotropy and non-unit aspect ratio. By means of a connection to the decay of pore-space volume, we measure power law exponents for the object size distribution. We carry out a mean field analysis, showing that it provides an upper bound for the size distribution exponent. We find that while the details of the growth mechanism are irrelevant, the exponent is strongly shape dependent. Potential applications lie in ecological and biological environments where sessile organisms compete for limited space as they grow.

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BibTeX:

@Article{dodds2003a,
  author = 	 {Dodds, P.S. and Weitz, J.S.},
  title = 	 {Packing-limited growth of irregular objects},
  journal = 	 {Phys. Rev. E},
  year = 	 {2003},
  key =          {ecology},
  volume = 	 {67},
  pages = 	 {016117},
  weblink = 	 {http://publish.aps.org/abstract/PRE/v67/p016117},
}