V2EX maxwell-boltzmann distribution

MaxwellBoltzmann Distribution

Definition / 释义

麦克斯韦玻尔兹曼分布:经典统计力学中描述处于热平衡的理想气体(或经典粒子体系)里,粒子的速度/动能(或能量)在不同取值上的概率分布。常用于解释气体分子速率分布、温度与平均动能的关系等。(在量子条件下会被玻色爱因斯坦分布或费米狄拉克分布取代。)

Pronunciation / 发音(IPA)

/mkswl boltsmn dstrbjun/

Examples / 例句

At room temperature, the MaxwellBoltzmann distribution predicts that most molecules have moderate speeds.
在室温下,麦克斯韦玻尔兹曼分布预测大多数分子具有中等速度。

By integrating the MaxwellBoltzmann distribution over all speeds, we can compute the fraction of molecules energetic enough to overcome an activation barrier.
通过对麦克斯韦玻尔兹曼分布在所有速率上积分,我们可以计算出能量足以跨越活化能势垒的分子所占比例。

Etymology / 词源

该术语由两位科学家的姓氏组成:James Clerk Maxwell(麦克斯韦)在19世纪提出气体分子速率分布的早期形式;Ludwig Boltzmann(玻尔兹曼)进一步发展了统计力学框架,使这种分布与热力学、熵以及能量分配规律系统地联系起来。distribution 来自拉丁语系词根,意为“分配、分布”。

Related Words / 相关词汇

Notable Works / 文献与著作中的出现

  • Maxwell, J. C. (1860) Illustrations of the Dynamical Theory of Gases(提出分子速率分布的奠基性论文)
  • Boltzmann, L. (1872) Weitere Studien über das Wrmegleichgewicht unter Gasmolekülen(发展统计观点与平衡分布思想的重要论文)
  • Feynman, Leighton & Sands The Feynman Lectures on Physics(用教学化方式讲解气体分子速率分布与热运动)
  • Reif, F. Fundamentals of Statistical and Thermal Physics(经典教材中系统推导与应用)
  • Pathria & Beale Statistical Mechanics(统计力学教材中作为经典极限的核心分布之一)
  • Atkins & de Paula Physical Chemistry(物理化学中用于反应速率、能量分布等应用场景)
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