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| Entropy from the LS and an NSE EOS |
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J.D. Maldonado
F.X.Timmes, my vitae
The electron-positron portion of the two equations of state are identical. Differences between the two EOS routines originate from the model used for nucleons (interacting nucleons in a liquid dropish model versus non-interacting Boltzmann nucleons), and the model used for the composition.
LS Baryon Entropy:
Entropy from baryons Ye=0.5 |
Entropy from baryons Ye=0.4 |
Entropy from baryons Ye=0.3 |
Entropy from baryons Ye=0.2 |
The entropy from baryons, on the other hand, appears to be well behaved everwhere is this section of the rho-T plane. In fact, baryons dominate the magnitude of the total entropy. The black ledge in the total entropy isn't real. I simply capped the largest value plotted, since the entropy skyrockets in regions where radiation and e+e- dominate.
LS Total Entropy:
Total entropy Ye=0.5 |
Total entropy Ye=0.4 |
Total entropy Ye=0.3 |
Total entropy Ye=0.2 |
NSE Baryon Entropy:
Entropy from baryons Ye=0.5 |
Entropy from baryons Ye=0.4 |
Entropy from baryons Ye=0.3 |
Entropy from baryons Ye=0.2 |
Looks a bit different than an LS based EOS. Again, the black ledge in the total entropy isn't real. I simply capped the largest value plotted.
NSE Total Entropy:
Total entropy Ye=0.5 |
Total entropy Ye=0.4 |
Total entropy Ye=0.3 |
Total entropy Ye=0.2 |
LS and NSE Entropies Compared:
Entropy Ye=0.5 |
Entropy Ye=0.4 |
Entropy Ye=0.3 |
Entropy Ye=0.2 |
Entropy differences Ye=0.5 |
Entropy differences Ye=0.4 |
Entropy differences Ye=0.3 |
Entropy differences Ye=0.2 |
The disagreements here are larger than the pressure and energy cases.