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Directed percolation with an absorbing boundary

Author

Listed:
  • Bækgaard Lauritsen, Kent
  • Sneppen, Kim
  • Markošová, Maria
  • Jensen, Mogens H.

Abstract

We consider directed percolation with an absorbing boundary in 1 + 1 and 2 + 1 dimensions. The distribution of cluster lifetimes and sizes depend on the boundary. The new scaling exponents can be related to the exponents characterizing standard directed percolation 1 + 1 dimension. In addition, we investigate the backbone cluster and red bonds, and calculate the distribution of living sites along the absorbing boundary.

Suggested Citation

  • Bækgaard Lauritsen, Kent & Sneppen, Kim & Markošová, Maria & Jensen, Mogens H., 1997. "Directed percolation with an absorbing boundary," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 247(1), pages 1-9.
    • Handle: RePEc:eee:phsmap:v:247:y:1997:i:1:p:1-9
    DOI: 10.1016/S0378-4371(97)00403-2
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    References listed on IDEAS

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    1. Sneppen, Kim, 1995. "Extremal dynamics and punctuated co-evolution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 221(1), pages 168-179.
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