Structural and thermodynamic properties of spin-polarized fluid hydrogen

Abstract

Articles you may be interested inSpin-polarized hydrogen Rydberg time-of-flight: Experimental measurement of the velocity-dependent H atom spin-polarization Rev. Sci. Instrum. 85, 053103 (2014); 10.1063/1.4871995Spin-polarized hydrogen and its isotopes: A rich class of quantum phases (Review Article) Low Temp.The ''orbital-free'' two-component density functional theory introduced previously ͓H. Xu and J. P. Hansen, Phys. Rev. E 57, 211 ͑1998͔͒ is extended to the study of the proton-proton and protonelectron pair correlations in a spin-polarized hydrogen plasma as a function of density and temperature. An approximate formula is suggested to compute the free energy of the plasma phase, and applied to the investigation of the plasma-insulator transition of spin-polarized fluid hydrogen.

An Orbital‐Free Quantum Hypernetted Chain Model Based Perturbation Theory for Equation of State of Hydrogen and Helium in Warm Dense Regime

“…Thus, in the ranges of temperature and density considered, hydrogen can be expected to be pressure ionized and become a fully ionized plasma. In fact, Xu and Hansen made the same assumption in their work where they considered similar density and temperature ranges [12].…”

“…The perturbation theory for obtaining the Helmholtz free energy(HFE) is as follows: Following Xu and Hansen [12], a coupling constant (λ) is introduced in the ion-electron interaction potential such that the ion-electron interaction is switched off when λ = 0 and switched on when λ = 1 i.e., The perturbation theory for obtaining the Helmholtz free energy(HFE) is as follows: Following Xu and Hansen [12], a coupling constant (λ) is introduced in the ion-electron interaction potential such that the ion-electron interaction is switched off when λ = 0 and switched on when λ = 1 i.e.,…”

“…g11(r) is calculated up to 3 rd order and g12(r) is calculated up to second order. 3) also depicts the linear response contribution to free energy which is calculated as suggested by Xu and Hansen [10,12]. Each of the terms of perturbation series is also plotted.…”

“…Also since there is no exact virial relation known in this case, there was no rigorous way of getting EOS just using the solutions of the integral equations. Xu and Hansen [9][10][11][12] derived the orbital-free version of the QHNC method in a systematic way. The method did not include calculation of degree of ionization and assumed that electrons are in the ground state.…”

“…If V 12 is switched off, the system decouples as one component plasma (OCP) and uniform electron gas (UEG). The perturbation theory for obtaining the Helmholtz free energy(HFE) is as follows: Following Xu and Hansen [12], a coupling constant (λ) is introduced in the ion-electron interaction potential such that the ion-electron interaction is switched off when λ = 0 and switched on when…”