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Random sequential adsorption of oriented superdisks.

Oleksandr Gromenko1, Vladimir Privman

  • 1Department of Physics, Clarkson University, Potsdam, New York 13699, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 13, 2009
PubMed
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Researchers studied superdisk packing, finding a special point (p=1/2) where jamming density changes abruptly. This discovery offers new insights into dense packing and random sequential adsorption phenomena.

Area of Science:

  • Physics
  • Materials Science
  • Computational Physics

Background:

  • Dense packing of geometric objects is crucial in materials science.
  • Previous work studied "superdisks" defined by |x|2p+|y|2p=1.
  • Random sequential adsorption (RSA) is a key process for forming jammed states.

Purpose of the Study:

  • Extend the study of superdisk dense packing to jammed states formed via RSA.
  • Investigate the role of the parameter "p" in superdisk geometry on jamming density.
  • Identify special points or transitions in jamming density as a function of "p".

Main Methods:

  • Utilized Monte Carlo simulations to model superdisk packing.
  • Employed theoretical arguments to analyze jamming behavior.
  • Examined superdisks with shapes defined by |x|2p+|y|2p=1 for p>0.

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Main Results:

  • Identified p=1/2 as a special point for superdisk jamming.
  • Observed a discontinuous derivative in jamming density (rhoJ(p)) at p=1/2.
  • Supported findings with phenomenological excluded-area arguments.

Conclusions:

  • The jamming density of superdisks exhibits unique behavior at p=1/2.
  • This special point arises from the interplay between superdisk geometry and RSA packing.
  • The study provides a deeper understanding of jamming phenomena in disordered systems.