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The application of of Fermi Dirac statistics in the white dwarf

by clumps tim
Tags: application, dirac, fermi, statistics, white
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clumps tim
Jul21-14, 05:04 AM
P: 21
hi guys, I wonder if I have fully understood the Fermi Dirac statistics properly, but I have a question on it regarding its application in the white dwarf research. I read the Fermi energy is applicable for T=0, now if the core of a white dwarf is too hot then how can we apply the Fermi Dirac statistics there to calculate the electron degeneracy ?

can you please explain me ?
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Jul21-14, 08:18 AM
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Matterwave's Avatar
P: 2,951
The temperature of a white dwarf is certainly very hot compared to our regular every day standards, but it is low compared to the Fermi temperature ##T_F\equiv \epsilon_F/k## and so a white dwarf is highly degenerate and we *must* use the Fermi Dirac statistics and not Maxwell-Boltzmann statistics.

T=0 is used only as an approximation, it should really read ##T<<T_F## for practical applications. This of course means that the object of interest is not, strictly speaking, totally degenerate, but it is strongly degenerate.
clumps tim
Jul22-14, 06:45 AM
P: 21
thanks a lot, now it makes sense

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