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Degeneracy pressure of a two-dimensional Fermi gas
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Physics
Branch of physics
Statistical physics
Quantum ideal-gas statistics
Fermi-Dirac distribution
Fermi gas
Created
2026-09-24
Updated
2026-09-24
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At zero
temperature
,
a
two-dimensional
free
Fermi gas
satisfies
N
=
g
E
F
,
E
tot
=
2
1
N
E
F
,
p
=
−
(
∂
A
∂
E
tot
)
N
=
2
A
N
E
F
.
(1)
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(7)
Fermi gas
Fermi-Dirac distribution
Quantum ideal-gas statistics
Statistical physics
Branch of physics
Physics
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Past exam of the mathematics course of the University of Cambridge
/
2025
/
ii
/
Paper 3
/
35C
/
b
/
Solution
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