Systems composed of different particles without interactions

Systems composed of different particles without interactions 

let us assume that our system is formed of a double collection of molecules of two different species A and B, and that these molecules are completely independent. 

For example, this case will occur if the system is composed of two constituents belonging to two different phases. However, this can also be the case for two constituents belonging to the same phase without interaction between the molecules. 

The total number of complexions in our system is given by the product of the number of complexions of both sub-ensembles  

The appropriate statistic is applied separately to each sub-ensemble, which each behave as if they were independent. 

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