An Exact Percolation Point of Surface Filling in a Four-Dimensional Hyper-Cubic Lattice(Condensed Matter and Statistical Physics)
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概要
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An exact percolation threshold in a four-dimensional hyper-cubic lattice is obtained as p_c=0.5 from geometrical consideration. In a similar way, a macroscopically percolated structure consisting of (2n-n)-dimensional structure is formed at the critical point p_c=0.5 in a 2n-dimensional hyper-cubic lattice, because of the existence of a self-dual lattice in 2n-dimensional space and the orthogonal relation of the (2n-n)-dimensional structures in the original and dual hyper-cubic lattices.
- 理論物理学刊行会の論文
- 2005-06-25
著者
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Miyazima Sasuke
Department Of Applied Physics Chubu University
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MIYAZIMA Sasuke
Department of Bioscience and Biotechnology, Chubu University
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MIYAZIMA Sasuke
Department of Natural Science, Chubu University
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