Expansion of l for a weakly degenerate FD gas - PowerPoint PPT Presentation

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Expansion of l for a weakly degenerate FD gas

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Virial expansions are used for deviations from ideality. In this case, keep in mind that even though we started with non-interacting ... – PowerPoint PPT presentation

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Title: Expansion of l for a weakly degenerate FD gas


1
Expansion of l for a weakly degenerate FD gas
2
Equation of state
3
Virial coefficients
Virial expansions are used for deviations from
ideality. In this case, keep in mind that even
though we started with non-interacting
particles, their wavefunctions are symmetrized
?they are NOT INDEPENDENT
4
Weakly degenerate Bose-Einstein ideal gas
BOSE-EINSTEIN (bosons)
Again, for small deviations from classical
behavior, we can use expansions on l to obtain
corrections to Bolztmann
5
Weakly degenerate BE ideal gas II
6
Weakly degenerate BE ideal gas III
7
Finding l
8
Equation of state
9
Strongly degenerate ideal FD gas
10
Distribution function
11
Evaluating mo
12
Example of Fermi gas
e/m f(e/m)
ltlt1 1
0.5 1
0.8 0.99967
0.9 0.98201
1 0.5
1.1 0.01799
1.3 10-6
gtgt1 0
13
Thermodyn properties of FD e- gas
14
Corrections for T non 0K
15
EXPANSION OF F
16
Thermodyn properties
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