Power Law for Extinction Process in Multiple Contact Process

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  • Sakisaka Yukio
    Marine Biosystems Research Center, Chiba University
  • Tainaka Kei-ichi
    Department of Systems Engineering, Shizuoka University
  • Sugimine Nobuaki
    Aihara Complexity Modelling Project, ERATO, JST Institute of Industrial Science, University of Tokyo
  • Yoshimura Jin
    Marine Biosystems Research Center, Chiba University Department of Systems Engineering, Shizuoka University Department of Environmental and Forest Biology, State University of New York College of Environmental Science and Forestry
  • Hayashi Taro
    Department of Systems Engineering, Shizuoka University
  • Aihara Kazuyuki
    Aihara Complexity Modelling Project, ERATO, JST Institute of Industrial Science, University of Tokyo
  • Togashi Tatsuya
    Marine Biosystems Research Center, Chiba University
  • Miyazaki Tatsuo
    Marine Biosystems Research Center, Chiba University

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Abstract

We deal with a multiple contact process, that is a modification of the contact process. This system contains N kinds of species (N=10) on a finite-sized square lattice. Simulations are carried out using two different methods: local and global interactions. It is found that the waiting time to the extinction of the first species follows a power law. Moreover, we find that local interaction promotes the coexistence of multiple species.

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