Crystallization of the Bogoyavlensky Lattice.

• Hikami Kazuhiro

  Department of Physics, Graduate School of Science, University of Tokyo, Hongo 7––3––1, Bunkyo, Tokyo 113––0033

• Inoue Rei

  Department of Physics, Graduate School of Science, University of Tokyo, Hongo 7––3––1, Bunkyo, Tokyo 113––0033

• Komori Yasushi

  Department of Physics, Graduate School of Science, University of Tokyo, Hongo 7––3––1, Bunkyo, Tokyo 113––0033

抄録

We introduce a vertex model in two-dimension, which is associated withthe Bogoyavlensky lattice.We show that in a crystallized limit (q→ 0)we have a unique configuration, and that it coincides with anevolution of the soliton cellular automata which is a generalizationof the system introduced by Takahashi and Satsuma.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 68 (7), 2234-2240, 1999

  一般社団法人 日本物理学会

キーワード

• integrable system
• Bogoyavlensky lattice
• cellular automata
• vertex model

詳細情報

• CRID: 1390001204180597248
• NII論文ID: 210000101706
• NII論文ID: 110001955545
• NII書誌ID: AA00704814
• DOI: 10.1143/jpsj.68.2234
• BIBCODE: 1999JPSJ...68.2234H
• ISSN: 13474073
• ISSN: 00319015
• MRID: 1721445
• NDL書誌ID: 4817297
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I4817297
• Web Site: http://journals.jps.jp/doi/pdf/10.1143/JPSJ.68.2234
• 本文言語コード: en
• データソース種別:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可