重力场中混合理想气体分子按高度分布的研究  

Study of distribrition of mixed ideal gas molecules along height in the gravitational field

作　　者：晋宏营[1] 

机构地区：[1]榆林学院能源工程学院,陕西榆林719000

出　　处：《大学物理》2013年第5期3-8,共6页College Physics

基　　金：陕西省教育厅科学研究项目(2010JK933);榆林学院高学历人才科研启动基金项目(11GK04)资助

摘　　要：最大熵原理是自然界的一个基本原理,本文使用此原理研究了重力场中混合理想气体分子按高度的分布,导出了各组分气体分子分布的概率密度函数,进而得到了各组分气体的分子数密度随高度变化的关系式.然后,对混合理想气体在重力场中的分布进行了计算机蒙特卡罗模拟实验,并把模拟结果与理论结果进行了比较,发现二者符合得较好.这说明理论是成功的,计算机模拟也较好地反映了混合气体的实际情况.The maximum entropy principle is a basic law of nature,which is used to study the distribution of mixed ideal gas molecules along height in the gravitational field,the probability density distribution of molecule of each component gas is obtained,the relationship which shows how molecular number density of each component changes with height.In terms of the Monte Carlo method,computer simulation experiment is performed for studying the distribution of mixed ideal gas molecules in the gravitational field.The simulation result is compared with the theoretical one,and it is found that they are in good agreement with each other.This demonstrates that the theory is successful and the computer simulation adequately reflects the actual situation in mixed gas.

关 键 词：最大熵原理 计算机模拟 混合理想气体 重力场 

分 类 号：O552.3[理学—热学与物质分子运动论]