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Prog. Theor. Phys. Vol. 72 No. 5 (1984) pp. 940-955

[ Full Text PDF : FREE ACCESS (970K) ]

Pair Correlation Functions in Liquid Metallic Hydrogen

Junzo Chihara

Department of Physics, Japan Atomic Energy Research Institute, Tokai-mura, Ibaraki 319-11

(Received March 27, 1984)

Abstract:

The quantal hypernetted chain (QHNC) equation, derived from the Kohn-Sham-Mermin theory, is solved for the pair correlation functions in a liquid metallic hydrogen (LMH) modelled as a proton-electron mixture in the range where protons constitute a classical liquid and electrons are in a degenerate state. In the sufficiently high temperature and high density region, hydrogen atoms are found to form a metallic liquid where electrons have no bound state around a proton, and with decreasing temperature or density (for example, near rs=0.72 with the plasma parameter Γ=100), an iterative process to solve the QHNC equation becomes unstable and diverges owing to the rapid growth in an attractive part of the effective electron-electorn interaction. In addition, it is shown that in the LMH there exists a first-order phase transition which is considered to cause a significant change in the electronic structure : At rs=0.3 and Γ=20, for example, the QHNC equation has two sets of solutions belonging to two branches; the high temperature phase and the low temperature phase in which the distribution of electrons reflects more strongly the local order of protons.


URL : http://ptp.ipap.jp/link?PTP/72/940/
DOI : 10.1143/PTP.72.940

[ Full Text PDF : FREE ACCESS (970K) ] Citation:

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Citing Article(s) :

  1. Journal of the Physical Society of Japan 64 (1995) pp. 4708-4725 :
    One-Component Plasmas with Self-Consistently Determined Core Electrons
    Shuji Kiyokawa

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