Power Law for Extinction Process in Multiple Contact Process(Physics of elementary particles and fields)

Sakisaka Yukio
Tainaka Kei-ichi
Sugimine Nobuaki
YOSHIMURA Jin
HAYASHI Taro
AIHARA Kazuyuki
TOGASHI Tatsuya
MIYAZAKI Tatsuo

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.

Journal of the Physical Society of Japan

社団法人日本物理学会

10.1143/JPSJ.76.023101

http://ci.nii.ac.jp/naid/110006203489
https://doi.org/10.1143/JPSJ.76.023101
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