V2EX microcanonical ensemble

Microcanonical Ensemble

释义 Definition

微正则系综:统计力学中的一种理想化描述方法,用来表示能量 \(E\)粒子数 \(N\)体积 \(V\) 都固定、与外界不交换能量与粒子的孤立系统的所有可能微观状态的集合。(在这种系综中,常假设满足条件的微观状态“等概率”。)

发音 Pronunciation (IPA)

/makroknnkl nsmbl/

例句 Examples

A microcanonical ensemble describes an isolated system with fixed energy.
微正则系综描述的是一个能量固定的孤立系统。

For an ideal gas, the entropy can be defined by counting the number of accessible microstates in the microcanonical ensemble.
对理想气体而言,可以通过计算微正则系综中可达微观状态的数量来定义熵。

词源 Etymology

micro- 源自希腊语 mikros(“小的”),在物理中常指“微观层面”;canonical 来自希腊语 kanon(“标准、规范”),在统计物理里与“正则系综(canonical ensemble)”关;加上否定含义的 non-,表示“非正则”。ensemble 源自法语,意为“集合/整体”。合起来指:以微观状态为对象、但不采用正则系综那种与热库交换能量的设定,而是描述能量固定的状态集合。

相关词 Related Words

文学与著作中的用例 Literary Works

  • Statistical Mechanics(R. K. Pathria & Paul D. Beale):系统讲解微正则、正则与巨正则系综的定义与联系。
  • Thermal Physics(Charles Kittel & Herbert Kroemer):在热力学与统计物理的衔接处讨论微正则系综与熵。
  • Statistical Physics, Part 1(Landau & Lifshitz):以微正则系综为基础建立统计物理的核心概念。
  • Introduction to Modern Statistical Mechanics(David Chandler):在更现代的视角下介绍系综方法与微正则系综的角色。
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