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.

Key words: Equilibrium distribution, Most probable distribution, Relative fluctuation of thermodynamic system