A model that simplifies the Heisenberg model for ferromagnetic materials so that the magnetic moment can take only two states, up and down. It was first discussed by E. Ising, a student of W. Heisenberg, but the original version was proposed by W. Lenz. A detailed analysis of this model is important, since any phenomenon in which the components of a system can take only two states can be reduced to the Ising model by appropriate transformation. L. Onsager was the first to successfully treat the two-dimensional Ising model rigorously, making an important contribution to the study of critical phenomena. Source: Encyclopaedia Britannica Concise Encyclopedia About Encyclopaedia Britannica Concise Encyclopedia Information |
強磁性体に関するハイゼンベルク模型を簡略化して,磁気モーメントが上向き,下向きの2つの状態しかとれないようにした模型。 W.ハイゼンベルクの弟子 E.イジングによって初めて論じられたが,その原型は W.レンツにより提案されていた。系の構成要素がおのおの2つの状態しかとらない現象は適当な変換によってイジング模型に還元できるので,この模型の詳しい解析は重要である。 L.オンサーガーは二次元的なイジング模型の厳密な取扱いに初めて成功し,臨界現象の研究に重要な貢献をした。
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