Abstract
A theoretical framework for analyzing shock waves in three phases (gas, liquid, and solid) in a unified way is developed by adopting the system of hard spheres with mutual attractive interactions. The Rankine–Hugoniot conditions are derived from the system of Euler equations with caloric and thermal equations of state, and the admissibility (stability) of shock waves is investigated. It is found that there can exist two typical scenarios of the shock-induced phase transitions from gas phase to solid phase. For these scenarios the internal degrees of freedom of a particle f should be selected suitably. The necessary value of f is larger than O (10 1 ) or O (10 3 ) depending on the scenario.
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