Is the common definition of the Mie-Grueneisen equation of state inconsistent

Physics

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High Temperature Research, Planetary Structure, Pressure Effects, Shock Wave Propagation, Temperature Effects, Harmonic Analysis, Thermodynamics

Scientific paper

Anharmonic models are used to describe the high temperatures and the electronic effects characteristic of shock wave phenomena and planetary interiors. It is found that a generalized Grueneisen function dependent on temperature and volume is necessary for the self-consistent application of the Mie-Grueneisen equation at the physical conditions encountered in shock wave phenomena or in the interior of planets. It is noted that at temperatures of a few thousand degrees Kelvin, by deriving the function in terms of anharmonic lattice dynamics, the difference between gamma and gamma(th) is of the same order of a magnitude as gamma. This leads to the conclusions that (1) gamma is not a function of temperature and (2) gammagamma(th) does not explain either the equation of state of planetary interiors or high-temperature shock wave phenomena.

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