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Let us consider this thought experiment of having say Avogadro number of bosons in a box. According to statistical mechanics, it is equally probable to find every distribution of bosons in the box.

But, say we wait really long enough to find that at one point of time, we find all the bosons on one side of the box. Now, bosons as they are, have the feature that the probability of finding n of them in a state, is proportional to n+1. Hence even if we add one more boson to the box, it would most probably join the other bosons and still maintain the previous configuration.

Now, we can see that by adding more and more bosons, instead of getting more distributed, the particles are maintaining the configuration. Is there something wrong with my logic or is this what happens with bosons?

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# Bosons in a box

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