I have a little question I can't seem to find the answer to. It is as follows:
When does Fermi-Dirac statistics reduce to Maxwell-Boltzmann statistics?
Answer
The Fermi-Dirac distribution
f=11+e(E−μ)/kT
where, E is the energy, μ is the chemical potential and kT is Boltzmann's constant times temperature reduces to the Boltzmann distribution
if E≫μ then e(E−μ)/kT≫1 and so you can write f≈e−(E−μ)/kT.
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