Completely integrable models in quasicrystals

V. E. Korepin

doi:10.1007/BF01209021

Completely integrable models in quasicrystals

V. E. Korepin

Institute for Theoretical Physics

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

17 Scopus citations

Abstract

The general method of construction of integrable dynamical models in quasicrystals is presented in the paper. It is illustrated on the example of the model of interacting spins for Penrose nonperiodic tiling of the plane. Another example constructed is the three dimensional model of interacting spins for icosahedral tiling of the three dimensional space. The bulk free energy is calculated for these models.

Original language	English
Pages (from-to)	157-171
Number of pages	15
Journal	Communications in Mathematical Physics
Volume	110
Issue number	1
DOIs	https://doi.org/10.1007/BF01209021
State	Published - Mar 1987

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10.1007/BF01209021

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title = "Completely integrable models in quasicrystals",

abstract = "The general method of construction of integrable dynamical models in quasicrystals is presented in the paper. It is illustrated on the example of the model of interacting spins for Penrose nonperiodic tiling of the plane. Another example constructed is the three dimensional model of interacting spins for icosahedral tiling of the three dimensional space. The bulk free energy is calculated for these models.",

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AB - The general method of construction of integrable dynamical models in quasicrystals is presented in the paper. It is illustrated on the example of the model of interacting spins for Penrose nonperiodic tiling of the plane. Another example constructed is the three dimensional model of interacting spins for icosahedral tiling of the three dimensional space. The bulk free energy is calculated for these models.

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EP - 171

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 1

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Completely integrable models in quasicrystals

Abstract

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