大学物理 ›› 2025, Vol. 44 ›› Issue (1): 49-.doi: 10.16854/j.cnki.1000-0712.240194

• 教学讨论 • 上一篇    下一篇

简单气体自扩散碰撞截面与温度关系的模拟

吕勇军,李军刚,刘鹏   

  1. 北京理工大学 物理学院,北京100081
  • 收稿日期:2024-04-22 修回日期:2024-06-05 出版日期:2025-03-20 发布日期:2025-03-27
  • 作者简介:吕勇军(1975—),男,甘肃兰州人,北京理工大学物理学院教授,博士,主要从事普通物理教学和非晶态物理研究工作.吕勇军,E-mail: yongjunlv@bit.edu.cn
  • 基金资助:
    国家自然科学基金(52071029; 52031016)资助

Simulations on the temperature dependence of selfdiffusion cross section of simple gases

L Yongjun, LI Jungang, LIU Peng   

  1. School of Physics, Beijing Institute of Technology, Beijing 10081, China
  • Received:2024-04-22 Revised:2024-06-05 Online:2025-03-20 Published:2025-03-27

摘要: 气体的输运性质与分子间的碰撞过程有密切的关联,特别是碰撞截面对气体的自扩散、黏度和热导率有着重要的影响. 本文采用分子动力学模拟方法系统研究了常压下单原子气体He、Ar,双原子气体N2和多原子气体CH4的 自扩散系数及其温度依赖行为. 基于简单气体的经典散射模型并结合模拟结果探讨了气体分子自扩散碰撞截面与温度之间的关系. 本文结果对气体输运性质的教学与研究具有一定的指导意义.

关键词: 自扩散系数, 碰撞截面, 分子动力学模拟

Abstract: The transport properties of gases are closely related to the collision process between molecules, and in particular, the cross sections significantly affect diffusion coefficient, viscosity and thermal conductivity. This work studies the diffusion coefficients of He, Ar, N2 and CH4 as well as their temperature dependence using molecular dynamics simulations. Based on the classical scattering model of simple gases combing with the simulation results, the temperature dependence of selfdiffusion cross section and its effect on diffusion coefficient are analyzed, which is helpful for the teaching and research of transport properties of gases in the course of college physics.

Key words: selfdiffusion, cross section, molecular dynamics simulation