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On The Helmholtz Free Energy




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Contact us:
J.D. Maldonado
F.X.Timmes, my vitae

This journal article discusses the characteristics of the Helmholtz. EOS.
Code for the Helmholtz equation of state is given here


image
Pressure differences
Absolute value of the difference from the exact Timmes EOS for the scalar pressure. image
Energy differences
Absolute value of the difference from the Timmes EOS for the specific internal energy.
image
Entropy differences
Absolute value of the difference from the Timmes EOS for the specific entropy. image
dP/dT differences
Absolute value of the difference from the Timmes EOS for dP/dT.
image
dE/dT differences
Absolute value of the difference from the Timmes EOS for dE/dT. image
dS/dρ differences
Absolute value of the difference from the Timmes EOS for dS/dρ.
image
Thermodynamic consistency 1
Deviation of the relation dE/dT = T dS/dT. for the Timmes and Helmholtz EOS. image
Thermodynamic consistency 2
Deviation of P = ρ2 dE/dρ + T dP/dT for the Timmes and Helmholtz EOS.
image
Thermodynamic consistency 3
Deviation of the relation -dS/dρ = 1/ρ2 dP/dT for the Timmes and Helmholtz EOS.