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Monte Carlo Simulation of Large Eden Clusters on a Cray-2

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Condensed Matter Theories

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Abstract

One of the simplest mathematical models of growth is the Eden model1. Consider an Infinite square lattice in two dimensions with all lattice sites empty, except one single occupied site initially. The growth process then may be completely defined by the single sentence, to be applied recursively: Occupy at random one of the empty sites neighbouring an occupied site. In spite of this remarkably simple definition the objects generated by this procedure exhibit astonishingly complex properties.

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References

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Author information

Authors and Affiliations

  1. Supercomputer Institute and School of Physics and Astronomy, University of Minnesota, Minneapolis, MN, 55415, USA

    D. Stauffer & John G. Zabolitzky

Authors
  1. D. Stauffer
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  2. John G. Zabolitzky
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Editor information

Editors and Affiliations

  1. Argonne National Laboratory, Argonne, Illinois, USA

    P. Vashishta  & Rajiv K. Kalia  & 

  2. University of Manchester Institute of Science and Technology, Manchester, UK

    R. F. Bishop

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© 1987 Plenum Press, New York

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Stauffer, D., Zabolitzky, J.G. (1987). Monte Carlo Simulation of Large Eden Clusters on a Cray-2. In: Vashishta, P., Kalia, R.K., Bishop, R.F. (eds) Condensed Matter Theories. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0917-8_34

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  • DOI: https://doi.org/10.1007/978-1-4613-0917-8_34

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-8244-0

  • Online ISBN: 978-1-4613-0917-8

  • eBook Packages: Springer Book Archive

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