content_image/314546.jpg content_image/314547.jpg content_image/314548.jpg content_image/314549.jpg
## Appendix C Statistical Mechanics Results 

We wish to relate the plasma density to its temperature. In general 

<img src='content_image/314546.jpg'>

where n$_{ε}$ = [exp $^{(}$( ε − µ ) /T ) ± 1] − 1 is the occupation number ( − taken for fermions, + taken for bosons), and g is the degeneracy. In an ultrarelativistic gas the single-particle energy is ε = cp . Therefore d $^{3}$p = 4 πp $^{2}$dp = 4 πε $^{2}$dε/c3 and 

for a Fermi gas at zero chemical potential, µ = 0. Then the density is 

<img src='content_image/314547.jpg'>

<img src='content_image/314548.jpg'>

<img src='content_image/314549.jpg'>

