V2EX ising model

Ising Model

释义 Definition

伊辛模型:统计物理与概率论中的一个经典格点模型,用来描述由许多“自旋”(通常取 +1 或 1)组成的系统在相互作用与外场下的集体行为,常用于研究相变磁性临界现象等。(也可推广到更一般的自旋取值与相互作用形式。)

发音 Pronunciation (IPA)

/iz mdl/

例句 Examples

The Ising model is a simple way to study magnetism.
伊辛模型是一种研究磁性的简明方法。

In two dimensions, the Ising model shows a phase transition at a critical temperature.
在二维情况下,伊辛模型会在某个临界温度发生相变。

词源 Etymology

“Ising model” 以德国物理学家 Ernst Ising(恩斯特伊辛) 命名。伊辛在 1925 年的研究中分析了该模型的一维情形;后来学者(尤其是 Onsager)推动了其在二维等情形下的理论发展,使其成为统计力学中最著名的模型之一。

相关词 Related Words

文学与名著中的用例 Notable Works

  • Ernst Ising (1925) Beitrag zur Theorie des Ferromagnetismus(提出并分析一维情形的早期奠基性工作)
  • Lars Onsager (1944) Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition(二维伊辛模型的经典结果)
  • R. J. Baxter (1982) Exactly Solved Models in Statistical Mechanics(包含伊辛模型等可解模型的权威著作)
  • Kerson Huang Statistical Mechanics(统计力学教材中常以伊辛模型讲解相变与临界现象)
  • R. K. Pathria & Paul D. Beale Statistical Mechanics(多处以伊辛模型作为核心例子)
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