Cell renormalisation of growth processes: 'True' self-avoiding walks and growing animals

H. Nakanishi, F. Family

研究成果: Contribution to journalArticle査読

22 被引用数 (Scopus)

抄録

The authors present a generating function formalism for growth processes in general, and introduce a new cell renormalisation scheme. As examples, they treat the 'true' self-avoiding walk and the Eden process (or growing animals) in two and three dimensions using small cells. The results in both cases indicate a substantial increase in the fractal dimension D compared with their equilibrium counterparts. The case of the Eden process may, however, suggest a peculiar convergence behaviour as the cell size b tends to infinity.

本文言語英語
論文番号027
ページ(範囲)427-433
ページ数7
ジャーナルJournal of Physics A: Mathematical and General
17
2
DOI
出版ステータス出版済み - 12 1 1984
外部発表はい

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

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