Abstract
The stability of strong shock waves in metals with respect to spontaneous emission of acoustic and entropy-vortex waves is investigated theoretically. The analysis employs the empirical Hugoniot adiabatic (HA) which is commonly represented as a straight line in the plane (U,D) where U is the particle velocity behind the shock and D is the shock velocity. The criterion for spontaneous emission depends on the sound velocity in a shock-compressed medium which is determined from the three-term equation of state. The latter takes into account contributions of atoms and electrons to the total pressure. The atomic Gruneisen parameter and the cold elastic pressure are calculated from a system of coupled differential equations which is based on the empirical HA and the Slater–Landau approach. It has been found that spontaneous emission may occur in metals with relatively low values of the Hugoniot adiabatic slope S=dD/dU such as molybdenum and tantalum.
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