ΔS = nR ln(Vf / Vi)

The Fermi-Dirac distribution describes the statistical behavior of fermions, such as electrons, in a system:

where ΔS is the change in entropy, ΔQ is the heat added to the system, and T is the temperature.

where μ is the chemical potential. By analyzing the behavior of this distribution, we can show that a Bose-Einstein condensate forms when the temperature is below a critical value.

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