Abstract
The time-dependent pair correlation function of a quantum mechanical onecomponent plasma bounded by a plane hard wall is studied near that wall. Along the wall, this function has an algebraic asymptotic form: it decays only as the inverse cube (square) of the distance for a three (two)-dimensional system (the case of fermions at zero temperature is excluded from the present study). The amplitude of the asymptotic form obeys a universal sum rule. Similar results hold at the plane interface between two different one-component plasmas.
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References
Ch. Gruber, J. L. Lebowitz, and Ph. A. Martin,J. Chem. Phys. 75:944 (1981).
L. Blum, D. Henderson, J. L. Lebowitz, Ch. Gruber, and Ph. A. Martin,J. Chem. Phys. 75:5974 (1981).
B. Jancovici,J. Stat. Phys. 29:263 (1982).
B. Jancovici,J. Stat. Phys. 34:803 (1984).
S. L. Carnie and D. Y. C. Chan,Molec. Phys. 51:1047 (1984).
F. H. Stillinger and R. Lovett,J. Chem. Phys. 49:1991 (1968).
D. Pines and D. Bohm,Phys. Rev. 85:338 (1952).
D. Pines and Ph. Nozières,The Theory of Quantum Liquids (Benjamin, New York, 1966).
Ph. A. Martin and C. Oguey,J. Phys. A, to be published.
L. D. Landau and E. M. Lifshitz,Statistical Physics, Part 1 (Pergarnon, Oxford, 1980).
E. A. Stern and R. A. Ferrell,Phys. Rev. 120:130 (1960).
I. M. Gelfand and G. E. Shilov,Generalized Functions (Academic Press, New York, 1964).
D. C. Langreth and J. P. Perdew,Phys. Rev. B 15:2884 (1977).
J. Friedel,Philos. Mag. 43:153 (1952).
M. L. Rosinberg and L. Blum,J. Chem. Phys. 81:3700 (1984).
P. J. Forrester,J. Phys. A, to be published.
W. Kohn and K. H. Lau,Solid State Commun. 18:553 (1976).
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This laboratory is associated with the Centre National de la Recherche Scientifique
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Jancovici, B. Surface correlations in a quantum mechanical one-component plasma. J Stat Phys 39, 427–441 (1985). https://doi.org/10.1007/BF01018671
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DOI: https://doi.org/10.1007/BF01018671