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- Thread starter shabbir
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Now, once you look at the Fermi-Dirac distribution, and study it for a while, you notice that the combination [tex]\frac{E_f}{k_B}[/tex] is important, and this has the right units to be called a temperature. It turns out that the system behaves more and more differently beyond that temperature.

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It means all the Fermions may be at the same temperature simultanously, as it is clear. And Fermi temperature is a purely quantum mechanical concept. So can we say that the Fermi temperature corresponds to ensemble of Fermions in many particle degerate Fermi system? I am bit confused in the sense that Pauli's principle restrict two Fermions to be in the same quantum state, and "temperature" is an average phenomenon, so how to visualize the Fermi temperature? Can many Fermions (e.g., electrons/positrons) in a many-particle system be at same "Fermi temperature"?

Now, once you look at the Fermi-Dirac distribution, and study it for a while, you notice that the combination [tex]\frac{E_f}{k_B}[/tex] is important, and this has the right units to be called a temperature. It turns out that the system behaves more and more differently beyond that temperature.

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E

which is similar to the thermodynamics equation

E = n k

I don't think it has anything to do with the real physical temperature of the electron itself.

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E_{F}= k_{B}T_{F}

which is similar to the thermodynamics equation

E = n k_{B}T

I don't think it has anything to do with the real physical temperature of the electron itself.

Thanks. But one more thing. The Fermi energy and consequently the Fermi temperature is very large in dense systems e.g. electrons in metals. So for some thermal energy say 0.1eV, the Fermi pressure is still very large as compared with thermal pressure. Can this Fermi pressure drive waves/oscillations due to electronic or ionic motion in a Fermi gas of electrons?

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