Comparison of Hugoniots calculated for aluminum in the framework of three quantum-statistical models

TL;DR

This paper compares the predictions of three quantum-statistical models for aluminum's shock compression properties, analyzing their accuracy against experimental data across a wide pressure range.

Contribution

It provides a comparative analysis of thermodynamic properties of aluminum using three quantum-statistical models under shock compression.

Findings

Hugoniots vary significantly between models at high pressures.

Quantum and exchange corrections influence the thermodynamic predictions.

Models show different levels of agreement with experimental data.

Abstract

The results of calculations of thermodynamic properties of aluminum under shock compression in the framework of the Thomas--Fermi model, the Thomas--Fermi model with quantum and exchange corrections and the Hartree--Fock--Slater model are presented. The influences of the thermal motion and the interaction of ions are taken into account in the framework of three models: the ideal gas, the one-component plasma and the charged hard spheres. Calculations are performed in the pressure range from 1 to $10^7$ GPa. Calculated Hugoniots are compared with available experimental data.