### 平衡分布与最概然分布

1. 华东理工大学化学系 上海 200237
• 发布日期:2015-12-25
• 通讯作者: 黑恩成 E-mail:heiec@ecust.edu.cn
• 基金资助:

教育部教育质量工程建设项目(No.YJ0136104);国家精品资源共享课建设项目(No.YJ0125206)

### Equilibrium Distribution and the Most Probable Distribution

Liu Guojie, Hei Encheng

1. School of Chemistry, East China University of Science and Technology, Shanghai, 200237, China
• Published:2015-12-25

Abstract:

Taking binomial distribution as an illustration, we elaborated the relationship between equilibrium distribution and the most probable distribution. According to the statistical mechanics, the binomial distribution approximates to the normal distribution when the number is large enough, and the relative fluctuation is inversely proportional to the square root of the number, we illustrated that the equilibrium distribution of a thermodynamic system could be described by the most probable distribution.

MSC2000:

• O6