fermi distribution


by aaaa202
Tags: distribution, fermi
aaaa202
aaaa202 is offline
#1
Nov17-13, 07:47 PM
P: 995
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?
Phys.Org News Partner Physics news on Phys.org
Chameleon crystals could enable active camouflage (w/ video)
Atomic switcheroo explains origins of thin-film solar cell mystery
X-ray laser experiment explores how specially shocked material gets stronger
DrDu
DrDu is online now
#2
Nov18-13, 01:45 AM
Sci Advisor
P: 3,376
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.


Register to reply

Related Discussions
Fermi distribution Atomic, Solid State, Comp. Physics 1
Fermi distribution Atomic, Solid State, Comp. Physics 1
Fermi distribution Quantum Physics 2
Fermi Dirac Distribution Quantum Physics 0
fermi-dirac distribution Advanced Physics Homework 1