Fermi distribution

  1. All derivations of the Fermidistribution uses a canonical ensemble with a chemical potential, which is the same as to say that the ensemble can exchange particles with a resevoir. But are the derivations still valid for the canonical ensemble with a fixed number of particles and why isn't this just used?
     
  2. jcsd
  3. DrDu

    DrDu 4,190
    Science Advisor

    The calculation of the grand-canonical partition function is much easier than calculation of the canonical one.
    There is a folk theorem that all ensembles are equal in the large N limit, although there are counter-examples.
    However, I strongly doubt that "All" derivations of the Fermi distribution use a grand-canonical ensemble.
    E.g. I think Thirrings book "Quantum Mathematical Physics: Atoms, Molecules and Large Systems" contains a derivation using the canonical ensemble.
     
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