Prog. Theor. Phys. Vol. 52 No. 1 (1974) pp. 42-53

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Dielectric Response Function of Electron Liquids. III

— Numerical Investigation of Static Properties —

Hiroo Totsuji and Setsuo Ichimaru

Department of Physics, University of Tokyo, Bunkyo-ku, Tokyo

(Received February 12, 1974)

Abstract:

Numerical investigations of the static properties of the electron liquid are carried out on the basis of the dielectric response function derived by one of the authors. The static form factor is computed over the thermodynamically stable domain of the plasma parameter, ε\lesssim10. The correlation energy thus obtained is in good agreement with the numerical experiment carried out by Brush, Sahlin and Teller; the short-range behavior of the correlation is much improved over the existing theories. The compressibility sum rule is well satisfied up to ε≃10 so that the critical plasma parameter for the onset of a thermodynamic instability is determined to be in the range, 9.2≤ε_c ≤10.9. The nature of such an instability is clarified with the aid of the fluctuation analysis of the positive-charge background; a critical fluctuation of Ornstein-Zernike type is thus predicted. For the electron liquid with ε> ε_c, a possibility of separation into two phases is pointed out.

URL : http://ptp.ipap.jp/link?PTP/52/42/
DOI : 10.1143/PTP.52.42

References:

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Citing Article(s) :

Progress of Theoretical Physics Vol. 54 No. 4 (1975) pp. 1077-1092 :
Sum-Rule Analysis of Long-Wavelength Excitations in Electron Liquids

Setsuo Ichimaru, Hiroo Totsuji, Toshio Tange and David Pines
Progress of Theoretical Physics Vol. 58 No. 6 (1977) pp. 1709-1721 :
Pair Correlation Functions in Classical and Quantal Electron Gases

Junzo Chihara
Progress of Theoretical Physics Vol. 65 No. 1 (1981) pp. 54-65 :
Local Field Effect in Strongly Coupled, Classical One-Component Plasma

Kazutami Tago, Kenichi Utsumi and Setsuo Ichimaru
Progress of Theoretical Physics Vol. 71 No. 3 (1984) pp. 427-437 :
Hypernetted Chain Approximation, Convolution Approximation and Perfect Screening in Coulombic Many-Particle System

Hiroshi Iyetomi