Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein.

  • #1
If we have indistinguishable particles, we must use Fermi-Dirac statistics.
To Identical and indistinguishable particles, we use Bose-Einstein statistics.
And, to distinguishable classical particles we use Maxwell-Boltzmann statistics.

I have a system of identical but distinguishable particles, where the second level has a degeneracy.

I was reading at Wikipedia: "Degenerate gases are gases composed of fermions that have a particular configuration which usually forms at high densities."

My question is: Should I use Fermi-Dirac statistics in this case?

I'm confused. I was reading Reif and it seems that I should use Maxwell-Boltzmann just to nondegenerate gases. But if my system is made by distinguishable particles, it seems that I should use MB statistics.
  • #2
I'm not an expert on this and if I'm making an error, please correct me. But I thought that distinguishability is the key element, which determines that one should use the MB statistics. The MB statistics is ALSO a good approximation to the other distributions in certain limiting cases (such as dilute media), but I thought that if we deal with distinguishable components, that MB was exact. (the problem being, of course, that there do not exist systems of distinguishable elementary particles in nature)

Suggested for: Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein.