Hard Core Model
In the case of a 'hard core' repulsive model in which each molecule or atom consists of a hard core with an infinite repulsive potential, insertions in which two molecules occupy the same space will not contribute to the average. In this case the insertion parameter becomes
where is the probability that the randomly inserted molecule of species will experience and attractive or zero net interaction; in other words, it is the probability that the inserted molecule does not 'overlap' with any other molecules.
Read more about this topic: Widom Insertion Method
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