2013年5月
Combinatorial and approximative analyses in a spatially random division process
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
- ,
- ,
- ,
- ,
- 巻
- 392
- 号
- 9
- 開始ページ
- 2212
- 終了ページ
- 2225
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1016/j.physa.2013.01.025
- 出版者・発行元
- ELSEVIER SCIENCE BV
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. (C) 2013 Elsevier B.V. All rights reserved.
- リンク情報
- ID情報
-
- DOI : 10.1016/j.physa.2013.01.025
- ISSN : 0378-4371
- eISSN : 1873-2119
- Web of Science ID : WOS:000316774800030