Sunday, 20 October 2019

statistical mechanics - From Fermi-Dirac to Maxwell-Boltzmann statistics


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(Eμ)/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 Eμ then e(Eμ)/kT1 and so you can write fe(Eμ)/kT.


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