Statistical Representation of Molecular States and Boltzmann Distribution

1 Statistical Representation of Molecular States and Boltzmann Distribution 

Since all the molecules were originally the same, the number of combinations such that an instantaneous configuration is satisfied is given by 

This W is referred to as the weight of configurations. Taking the logarithm of (D.15) yields 

Since N is an extremely large number, Stirling s approximation can be applied to give 

In these combinations of W, the dominant configuration can be determined by maximizing W  

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