Crystallization of the Bogoyavlensky Lattice

Kazuhiro Hikami, Rei Inoue, Yasushi Komori

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


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

Original languageEnglish
Pages (from-to)2234-2240
Number of pages7
Journaljournal of the physical society of japan
Issue number7
Publication statusPublished - Jan 1 1999
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)


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