Critical parameters, thermodynamic functions, and shock Hugoniot of aluminum fluid at high energy density

Abstract

We present estimates of the critical properties, thermodynamic functions, and principal

D'yakov-Kontorovitch instability of shock waves in hot plasmas

“…E = E rad = 4σ c T4 V and P = P rad = 4σ 3c T 4 , we have particular case of c 2 s = γP V for γ = 4/3. The Mach number becomes χ0 ) ζ − 4] [(1 + 2χ 0 ) ζ − 1](109)and reduces, in the case of a pure photon gas(E 0 = 3P 0 V 0 ), to (ζ − 1)M 2 = (ζ − 7) [ζ (χ 0 − 1) − 2] (ζ − 1) [ζ (5 + 7χ 0 ) − 14](111)which reduces, in the case of a pure photon gas, toh c = ζ − 7 13ζ − 7 .…”

“…They dictate the plasma behavior and evolution [1]. Several theories predict that matter properties can lead to instabilities which can affect the well known steady shock wave propagation scheme, and cause major loss of efficiency in inertial confinement fusion (ICF) or misunderstanding of astrophysical phenomena [2][3][4]. Therefore, the experimental existence of these instabilities has to be investigated and their consequences mastered versus time and space.…”

Equation of state for aluminum in warm dense matter regime

“…For instance, the chemical equilibrium model, in which several significant nonideal effects are taken into consideration based on partially ionized plasma model, is commonly adopted to describe the thermodynamic properties for hot dense vapor and plasma. [8] Generally, different theories should be applied to the corresponding application range with special treatments in the transitional region to produce a global EOS table, such as the most commonly used SESAME database. [9] Much endeavor has been devoted to improve the prediction of EOS model in warm dense matter regime.…”