从涨落的角度讨论三种系综分布之间的关系

The Relation of the Three Kinds of Ensembles in Fluctuate

从能量涨落,粒子数涨落讨论了微正则分布、正则分布和巨正则分布的关系.得出了正则系统与微正则系统,巨正则系统与正则系统等价的结论.并用此结论讨论了单原子分子理想气体的粒子数的相对涨落和双原子分子的能量涨落,对实际教学有指导意义.

The relationship of microcanonical distribution, normal distribution and grand canonical distribution is discussed from the energy fluctuation and particle number fluctuation. The conclusion that the canonical and microcanonical system is equivalent to the grand canonical system and regular system is gained. And the conclusion is applied in discussing the relative fluctuation of particle number of monatomic molecule ideal gas and energy fluctuation of diatomic molecules, which is of guiding significance for the practical teaching.