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このアイテムの引用には次の識別子を使用してください:
http://hdl.handle.net/10119/11650
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| タイトル: | Combinatorial and approximative analyses in a spatially random division process |
| 著者: | Hayashi, Yukio
Komaki, Takayuki
Ide, Yusuke
Machida, Takuya
Konno, Norio |
| キーワード: | Random division process
Universal spatoal characteristic
Hierarchical structure
Self-organization
Complex System |
| 発行日: | 2013-01-17 |
| 出版者: | Elsevier |
| 誌名: | Physica A: Statistical Mechanics and its Applications |
| 巻: | 329 |
| 号: | 9 |
| 開始ページ: | 2212 |
| 終了ページ: | 2225 |
| DOI: | 10.1016/j.physa.2013.01.025 |
| 抄録: | For a spatial characteristic, there exist commonly fat-tail frequency distributions of fragment-size and -mass of glass, areas enclosed by city roads, and pore size/volume in random packings. In order to give a new analytical approach for the distributions, we consider a simple model which constructs a fractal-like hierarchical network based on random divisions of rectangles. The stochastic process makes a Markov chain and corresponds to directional random walks with splitting into four particles. We derive a combinatorial analytical form and its continuous approximation for the distribution of rectangle areas, and numerically show a good fitting with the actual distribution in the averaging behavior of the divisions. |
| Rights: | Copyright (C)2013 Elsevier. NOTICE: This is the author's version of a work that was accepted for publication in Physica A: Statistical Mechanics and its Applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms, may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Physica A: Statistical Mechanics and its Applications, 329(9), 2013, 2212-2225, http://dx.doi.org/10.1016/j.physa.2013.01.025 |
| URI: | http://hdl.handle.net/10119/11650 |
| 資料タイプ: | author |
| 出現コレクション: | a10-1. 雑誌掲載論文 (Journal Articles)
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このアイテムのファイル:
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記述 |
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| 19579.pdf | | 686Kb | Adobe PDF | 見る/開く |
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