Self-Affinity of Scheidegger's River Patterns

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概要

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• We investigated the scaling property of the drainage basin patterns generated bycomputer-simulation of the Scheidegger's river network model, which is a type ofdirected percolation model. Growth exponents are obtained from the inclination ofthe log-log plot of the length L (parallel direction) and the width W (perpendiculardirection) of the drainage basins as a function of the drainage area A, i.e., L?A"and F?J".The values are found to be v,=2/3 and v.= l/3,andthepatternsarenot self-similar, but self-affine. The relation v, -[- v. = 1 indicates that the inner struclure is nonfractal or compact. Theoretical considerations are also given to theseresults.

• 社団法人日本物理学会の論文
• 1987-06-15

著者

• MATSUSHITA Mitsugu

  Research Institute of Electrical Communication,Tohoku University

• Kondoh H

  Research Institute Of Electrical Communication Tohoku University

• KONDOH Hiroshi

  Research Institute of Electrical Communication,Tohoku University

• FUKUDA Yoshiichi

  Physics Department,College of General Education,Tohoku University

• Matsushita Mitsugu

  Research Institute Of Electrical Communication Tohoku University

• Kondoh Hiroshi

  Research Institute Electrical Communication Tohoku University

• Fukuda Yoshiichi

  Physical Laboratory Faculty Of Science Tohoku University

• Fukuda Yoshiichi

  Physics Department College Of General Education Tohoku University

• Matsushita Mitsugu

  Research Institute Electrical Communication Tohoku University

• MATSUSHITA Mitsugu

  Research Institute of Electrical Communication,Tohoku University:Department of Physics,Faculty of Science and Engineering,Chuo University

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