Complete Forms of Mie-Gruneisen Equation of State

The Mie-Gruneisen Equation of State (EoS) is often used in hydrocode simulations to model condensed materials at high pressure, but it is defined in an incomplete form P(V,E) which does not allow access to temperature and entropy. We have extended it to a complete form S(V, E) which is the combination of three independent models : an isentropic or isotherm potential E-K(V), the Debye temperature theta(V) from which we derive the Gruneisen coefficient Gamma(V), and a new function psi(u) which gives the specific heat by derivation. Then, we access to all the thermodynamic properties. We use form to build EoS with phase transitions.