Fermi Function at High Temperature

  • I
  • Thread starter Parmenides
  • Start date
  • #1
37
0

Main Question or Discussion Point

Hello,

A question I can't seem to find a simple answer to is, what happens to the Fermi-Dirac distribution at T grows large? Mathematics suggests that it approaches 1/2, like it does when the energy becomes equal to the Fermi energy. Or, are we not allowed to use the F-D distribution for high temperatures and have to use the Boltzmann distribution instead?
 

Answers and Replies

  • #2
marcusl
Science Advisor
Gold Member
2,714
377
The transition, which is sharp for T near 0, broadens and flattens. In the extreme limit, it indeed approaches the constant 1/2. The Fermi-Dirac distribution approaches a Boltzmann distribution when the energy density is low (few particles per state) and the temperature is high.
 

Related Threads on Fermi Function at High Temperature

Replies
14
Views
21K
Replies
3
Views
4K
  • Last Post
Replies
4
Views
2K
  • Last Post
Replies
5
Views
9K
  • Last Post
Replies
4
Views
474
  • Last Post
Replies
0
Views
3K
  • Last Post
Replies
1
Views
666
  • Last Post
Replies
2
Views
619
  • Last Post
Replies
1
Views
974
Top