The equation of state of a partly homogenized plasma of low-dense porous matter

TL;DR

This paper introduces a new equation of state for low-density porous plasma that accounts for partial homogenization, enabling better analysis of thermal expansion and experimental heating data.

Contribution

It proposes a novel continuous media EOS incorporating plasma homogenization degree, linking initial porous structure with plasma density and temperature.

Findings

Analytical solution for thermal expansion of porous plasma

Numerical results compare porous and continuous substances

Application to laser and X-ray heating experiments

Abstract

The equation of state (EOS) of a low-density porous substance plasma is proposed in the form of continuous media EOS containing, as a pressure control parameter, the degree of plasma homogenization, which is function of the initial porous structure, as well as of the current values of plasma density and temperature. Using the partially-homogenized-plasma EOS an approximate analytical solution is found and numerical calculations were performed of the problem of thermal expansion of a flat layer of porous matter. The features of the obtained results are discussed in comparison with the case of a continuous substance of equivalent chemical composition. The proposed equation of state is used to analyze the experimental data on porous substance heating with laser and X-ray pulses.