n-State Exclusive diffusion Models for Avalanche Processes Showing Self-Organized Criticality
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概要
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We introdtzce new arvalanche models on the d-dimensional hyper-ctmbic lattices which show tlaeself-organized criticality (SOCK. Tlaey are geraeralization of tl'xe two-state excltrsive di[Tttsion raaodelintroduced in otrr previotts paper ?tnd called the n-state excJtrsive difftzsion tnodels (1< n< 2d).If n z 2d, this tnodel is the saradpile zaaodel of Bak, Tang ?tnd Wiesenfeld. By 1Nz1ont,e Carlosimtr1atior?s, we evaltrated the height distribvttions of' particles and the avalanche exponents f'ord = 2,3, and 4. Numerical resttlts itanply that the n-state exclusive diffusion rnodels belong to thesarne universality class for each d, if 2< n< 2d. We ?tpply the rnean-field approximation andevaJtzate the height distribtutions of' particles in the SOC states. It is shoxvn that the mean-fieldtheory by Tang and Bak is the d -* coo liunit of' OLII rnean-field approxirnation.
- 社団法人日本物理学会の論文
- 1997-08-15
著者
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Kobayashi Hisao
Department Of Physics Graduate School Of Science Tohoku University
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Kobayashi H
Inst. Molecular Sci. Aichi
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Katori Makoto
Department Of Pharmacology Kitasato University School Of Medicine
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Kobayashi Hirotsugu
Department Of Physics Faculty Of Science And Engineering Chuo University
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Kobayashi Hirotsugu
Department Of Applied Chemistry Faculty Of Science And Technology Keio University
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