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On Five Stellar Equations of State




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Contact us:
J.D. Maldonado
F.X.Timmes, my vitae
This journal article discusses the characteristics of five stellar equations of state.
Code for the various equation of states is given here.

image
Pressure 		Pressure versus density for various temperatures and a pure 12C composition. image
Pressure differences 		Absolute value of the difference from the exact Timmes EOS for the scalar pressure.
image
Pressure differences 		Absolute value of the difference from the exact Timmes EOS for the scalar pressure. image
Energy 		Specific thermal energy versus density for various temperatures and a 12C composition.
image
Energy differences 		Absolute value of the difference from the Timmes EOS for the specific thermal energy. image
Energy differences 		Absolute value of the difference from the Timmes EOS for the specific thermal energy.
image
dP/dρ 		Partial derivative of the pressure with respect to the density at constant temperature. image
dP/dρ differences 		Absolute value of the difference from the Timmes EOS for dP/dρ
image
dP/dρ differences 		Absolute value of the difference from the Timmes EOS for the derivative of the pressure with respect to the density. image
dP/dT 		Partial derivative of the pressure with respect to the temperature at constant density.
image
dP/dT differences 		Absolute value of the difference from the Timmes EOS for dP/dT. image
dP/dT differences 		Absolute value of the difference from the Timmes EOS for dP/dT.
image
dE/dρ 		Partial derivative of the specific thermal energy with respect to the density at constant temperature. image
dE/dρ differences 		Absolute value of the difference from the Timmes EOS for dE/dρ.
image
dE/dρ differences 		Absolute value of the difference from the Timmes EOS for dE/dρ. image
dE/dT 		Partial derivative of the specific thermal energy with respect to temperature at constant density.
image
dE/dT differences 		Absolute value of the difference from the Timmes EOS for dE/dT. image
dE/dT differences 		Absolute value of the difference from the Timmes EOS for dE/dT.
image
Thermodynamic consistency 1 		Deviation of thermodynamic relation
P = ρ2 dE/dρ + T dP/dT 		image
Thermodynamic consistency 1 		Same as on left.
image
Thermodynamic consistency 2 		Deviation of dE/dT = T dS/dT. Only Nadyozhin's and Timmes' EOS return the requisite entropy derivatives. image
Thermodynamic consistency 2 		Same as on left.
image
Thermodynamic consistency 3 		Deviation of -dS/dρ = 1/ρ2 dP/dT image
Thermodynamic consistency 3 		Same as on the left.