Fermi-Dirac vs Bose-Einstein vs Maxwell-Boltzmann

One sign in the denominator separates solid matter from laser light. Drag T to see the step function freeze and the Bose peak diverge.

Temperature T
1500 K
Chemical Potential μ
2.00 eV

At E = μ + 0.5 eV

FD:
BE:
MB:
kT = — eV
"At high T: all three converge to MB"
T = — K | kT = — eV | At E=μ+0.5 eV: FD=—, BE=—, MB=—