用线性谐振子模型初步计算恒星纯氢大气中的热力学函数

楚雄师范学院学报 ›› 2022, Vol. 37 ›› Issue (3): 20-23.

用线性谐振子模型初步计算恒星纯氢大气中的热力学函数

陈彦辉^1,2,3

1.楚雄师范学院天体物理研究所,云南楚雄 675000;
2.楚雄师范学院物理与电子科学学院,云南楚雄 675000;
3.中国科学院天体结构与演化重点实验室,云南昆明 650011

收稿日期:2021-03-25 发布日期:2022-06-30
作者简介:陈彦辉（1987—）,男,天体物理专业博士,楚雄师范学院物理与电子科学学院副教授,云南省万人计划青年拔尖人才。研究方向为恒星结构与演化、白矮星星震学、天文学科学普及、理论物理、物理学科学普及等。E-mail： yanhuichen1987@126.com

A Preliminary Calculation of Thermodynamic Functions in Stellar Hydrogen Atmosphere Using Linear Harmonic Oscillator Model

Yanhui Chen^1,2,3

1. Institute of Astrophysics, Chuxiong Normal University, Chuxiong, Yunnan 675000, China;
2. School of Physics and Electronic Science, Chuxiong Normal University, Chuxiong, Yunnan 675000, China;
3. Key Laboratory for the Structure and Evolution of Celestial Objects, Chinese Academy of Sciences, Kunming, Yunnan 650011, China

Received:2021-03-25 Published:2022-06-30

摘要/Abstract

摘要： 前两篇文章分别讨论了线性谐振子加空间转子微观模型和宏观统计计算。本文在前两篇文章的基础上首先讨论了理想气体物态方程和态函数的计算,其次讨论了双原子分子气体热容量的计算和能量均分定理的应用,最后讨论了恒星纯氢大气的物态方程和态函数计算。恒星纯氢大气可用理想气体模型近似,态函数内能的计算中双原子分子的振动能用微观量子计算,采用微观量子理论计算的态函数内能值是更精确的。该更精确的内能值将带来更精确的热力学函数熵、焓、自由能和吉布斯函数的数值,这些更精确地态函数数值将有助于构建更合理的恒星模型。

关键词: 线性谐振子, 态函数, 理想气体, 恒星纯氢大气

Abstract: In the first two papers, the micro model and macro statistical calculation of linear harmonic oscillator plus space rotor are discussed respectively. Based on the first two articles, this paper first discusses the calculation of the equation of state and state function of ideal gas. Secondly, the calculation of diatomic molecular gas heat capacity and the application of energy equipartition theorem are discussed. Finally, the equation of state and the calculation of state function of stellar pure hydrogen atmosphere are discussed. The stellar hydrogen atmosphere can be approximated by the ideal gas model, and the vibrational energy of diatomic molecules can be calculated by the micro quantum method. The internal energy of state function calculated by the micro quantum theory is more accurate. This more accurate internal energy value will lead to more accurate values of entropy, enthalpy, free energy and Gibbs function of thermodynamic functions. These more accurate state function values will help to build a more reasonable stellar model.

Key words: linear harmonic oscillator, function of state, ideal gas, stellar hydrogen atmosphere

中图分类号:

P152.4

陈彦辉. 用线性谐振子模型初步计算恒星纯氢大气中的热力学函数[J]. 楚雄师范学院学报, 2022, 37(3): 20-23.

Yanhui Chen. A Preliminary Calculation of Thermodynamic Functions in Stellar Hydrogen Atmosphere Using Linear Harmonic Oscillator Model[J]. Journal of Chuxiong Normal University, 2022, 37(3): 20-23.

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