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Related Experiment Videos

Packing-limited growth of irregular objects.

Peter Sheridan Dodds1, Joshua S Weitz

  • 1Institute for Social and Economic Research and Policy, Columbia University, New York, New York 10027, USA. peter.dodds@columbia.edu

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 15, 2003
PubMed
Summary

This study explores how irregular objects grow and pack in 2D. Object shape strongly influences growth, impacting size distribution regardless of the specific growth mechanism.

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Area of Science:

  • Physics
  • Materials Science
  • Ecology

Background:

  • Understanding how irregular objects pack and grow is crucial in various scientific fields.
  • Sessile organisms in ecological and biological systems compete for space during growth, making this a relevant model.

Purpose of the Study:

  • To investigate growth-limited packing of irregular objects in two dimensions.
  • To analyze the effects of object anisotropy and nonunit aspect ratio on packing and size distribution.
  • To determine the relationship between object shape and the resulting size distribution exponent.

Main Methods:

  • Objects were seeded randomly in time and space and allowed to grow until collision.
  • Pore-space volume decay was analyzed to establish a connection to object size distribution.
  • Scaling analysis was performed to derive an upper bound for the size distribution exponent.

Main Results:

  • The study found that the growth exponent is independent of the specific growth mechanism.
  • A strong dependence of the exponent on object shape was observed.
  • Power law exponents for the object size distribution were measured.

Conclusions:

  • Object shape is a critical determinant of size distribution in growth-limited packing scenarios.
  • The findings have potential applications in modeling spatial competition in ecological and biological systems.
  • Scaling analysis provides a valuable theoretical framework for understanding these packing dynamics.

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