A converging equation of state of a weakly nonideal hydrogen plasma without mystery

Hydrogen and deuterium in shock wave experiments, ab initio simulations and chemical picture modeling

“…For instance, an exact asympCorrespondence to: bastian.holst@uni-rostock.de totic expansion of thermodynamic functions can be given in the limit of almost fully ionized, low density plasma [13,14]. Ab initio simulation techniques such as Path Integral Monte Carlo (PIMC) [15,16], quantum monte carlo (QMC) [17][18][19] or finite-temperature density functional theory molecular dynamics (FT-DFT-MD) simulations [20,21] which treat quantum effects and correlations systematically have taken a great benefit from the rapid progress in computing power.…”

Quantum screened interactions in moderately dense plasmas and atomic contributions to thermodynamics

“…We mention here that Starostin and Roerich derived also an expression for R * for larger values of . [27] As seen from Equation 50 in their paper, they predict R * > 1, as well as a singular behavior when reaches a specific value. We do not recover those results, which are an artifact of the replacement of 2 (k, 0) by its small-k expansion truncated at the order k 2 : this approximation for computing R * ( , 0) is valid only for small values of .…”

“…Our results complete those obtained by Starostin and Roerich. [27] At finite coupling, namely for finite values of e 2 , nonlinear polarization effects beyond the standard RPA ring sum provide important contributions to thermodynamics. They are described diagrammatically by dressing a bare loop with several attached rings.…”

“…Within the loop gas formalism, in the weak-coupling limit, the polarization induced by a fixed given loop  reduces to a sum of ring diagrams, whose functional integration over the shapes of  is nothing but the familiar RPA polarization contribution. [26,27] It can be expressed as a sum over the Fourier components̃(k, n) of the root function (r, s). In the zero-density limit, that polarization contribution reduces to the well-known classical Debye correction.…”

Account of Atomic and Molecular Contributions in the Equation of‐State for a Weakly Non‐Ideal Hydrogen Plasmas

“…We continue the development of the model EOS of weakly-nonideal hydrogen plasmas started in [7,8] and continued in [9][10][11][12].…”