n维实际气体分子平动能分布函数的推导及应用  

The Deduction and Application of Translational Kinetic Energy Distribution Function for the Actual Gas Molecules in n Dimensions

作　　者：于海燕[1] 王洪军[1] 

机构地区：[1]烟台市第二中学,山东烟台264000

出　　处：《鲁东大学学报（自然科学版）》2011年第3期236-239,共4页Journal of Ludong University:Natural Science Edition

摘　　要：利用正则分布推导了n维空间中气体分子的平动能分布函数,并给出了最概然平动能、平均平动能、方均根平动能、平动能的涨落、平动能的任意次方等表达式,所得公式与低维(三维、二维、一维)情况下的结果是吻合的.The distribution function of average translational kinetic energy for the actual gas molecules is derived by the canonical distribution in n dimensional spaces,and some characteristic expressions of gas molecules such as the most probable translational kinetic energy,the average translational kinetic energy,root-mean-square translational kinetic energy,fluctuation of translational kinetic energy,and the average of n th power of translational kinetic energy are given in any dimensions,which has a good agreement with the result deducing from lower dimensional（one dimension,two dimensions and three dimensions） spaces.

关 键 词：正则分布 平动能分布函数 N维 

分 类 号：O414[理学—理论物理]