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Citation: Liu Guojie, Hei Encheng. Equilibrium Distribution and the Most Probable Distribution[J]. University Chemistry, ;2015, 30(6): 83-88. doi: 10.3866/pku.DXHX20150683 shu

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

Corresponding author: Hei Encheng,
Fund Project: 教育部教育质量工程建设项目(No.YJ0136104) (No.YJ0136104)国家精品资源共享课建设项目(No.YJ0125206) (No.YJ0125206)

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.
- Equilibrium distribution,
- Most probable distribution,
- Relative fluctuation of thermodynamic system
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