Exclusive Diffusion Model Showing Self-Organized Criticality
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概要
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We introduce a new model which shows the self-organized criticality (SOCK. We call it theexclusive diffusion model, since if two or more than two particles are put on a site, they exclusivelydiffuse to different nearest-neighbor sites. It can be regarded as a modified process of the two-state model introduced by IVIanna. By numerical simulations we evaluated the particle densitiesand variotrs critical exponents in the SOC states for the sqtmare lattice and the simple cubiclattice. The particle density of the exclusive diffusion model is different from the valtme reportedby Manna for the two-state model in two dimensions, while it is concluded that this modeland the two-state model belong to the same universality class. We show that the mean-fieldapproxirnation, which we proposed for the sandpile models in a previous paper, is also applicableto the exclusive diffusion model.
- 社団法人日本物理学会の論文
- 1996-08-15
著者
-
Katori Makoto
Department Of Pharmacology Kitasato University School Of Medicine
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Kobayashi Hirotsugu
Department Of Applied Chemistry Faculty Of Science And Technology Keio University
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