Crystallization of the Bogoyavlensky Lattice

Kazuhiro Hikami; Rei Inoue; Yasushi Komori

doi:10.1143/JPSJ.68.2234

Crystallization of the Bogoyavlensky Lattice

Kazuhiro Hikami, Rei Inoue, Yasushi Komori

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	2234-2240
Number of pages	7
Journal	journal of the physical society of japan
Volume	68
Issue number	7
DOIs	https://doi.org/10.1143/JPSJ.68.2234
Publication status	Published - Jan 1 1999
Externally published	Yes

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

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10.1143/JPSJ.68.2234

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abstract = "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.",

author = "Kazuhiro Hikami and Rei Inoue and Yasushi Komori",

year = "1999",

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T1 - Crystallization of the Bogoyavlensky Lattice

AU - Hikami, Kazuhiro

AU - Inoue, Rei

AU - Komori, Yasushi

PY - 1999/1/1

Y1 - 1999/1/1

N2 - 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.

AB - 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.

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DO - 10.1143/JPSJ.68.2234

M3 - Article

AN - SCOPUS:0033449474

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JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

IS - 7

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Crystallization of the Bogoyavlensky Lattice

Abstract

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