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The Operational Equations of State, 4: The Dulong-Petit Equation of State for Hydrocode

Abstract : The widely spread hydrocode approach is rooted in modeling liquid and gaseous substances. It also found many applications in modeling solids at high pressures, considerably exceeding the elasticity limit. The hydrocode approach uses the specific volume V and the specific internal energy E as independent thermodynamic variables. Because of that fact, the implementation of the hydrocode approach requires the complete equation of state in the form S=S (V, E), where S is the specific entropy. We consider a model equation of state (EOS) based on the assumption of constant heat capacity V C at fixed volume. We call this model EOS the Dulong-Petit (D-P) EOS. We focus on the problem of recovery of the full D-P EOS from appropriate experimental data.