Weak Universality of a Site-Percolation Model with Two Different Sizes of Particles on a Square Lattice.
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- Sahara Ryoji
- Institute for Materials Research, Tohoku University, Sendai 980–8577
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- Mizuseki Hiroshi
- Institute for Materials Research, Tohoku University, Sendai 980–8577
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- Ohno Kaoru
- Institute for Materials Research, Tohoku University, Sendai 980–8577
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- Kawazoe Yoshiyuki
- Institute for Materials Research, Tohoku University, Sendai 980–8577
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Description
A site-percolation model with two different sizes of particles is newly introduced on a square lattice. To estimate the fractal dimension and critical exponents with high accuracy, a finite-size scaling analysis is performed with a Monte Carlo simulation. The obtained fractal dimension coincides with that of the ordinary model, while the estimated exponents β, γ, and ν are slightly different from those of the ordinary model. However, the normalized exponents hat β = β / ν and hat γ = γ / ν remain the same as in the ordinary model, which is a manifestation of weak universality.
Journal
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- Journal of the Physical Society of Japan
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Journal of the Physical Society of Japan 68 (12), 3755-3758, 1999
THE PHYSICAL SOCIETY OF JAPAN
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Details 詳細情報について
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- CRID
- 1390282679156424192
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- NII Article ID
- 110001955352
- 210000102007
- 130004536947
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- NII Book ID
- AA00704814
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- BIBCODE
- 1999JPSJ...68.3755S
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- ISSN
- 13474073
- 00319015
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- NDL BIB ID
- 4938006
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed