Abstract
The electrons bound to the surface of liquid dielectrics by image forces are described as a two-dimensional, classical, one-component plasma with inverse distance interactions. Exact expressions for the collective modes and the dynamic structure factor are obtained from first principles in the limit of long wavelengths. The differences and analogies with uncharged particle fluids and with the three-dimensional one-component plasma are explicitly displayed. The previously used mean-field approximation is shown not to describe weakly coupled systems and to be inadequate in the long-wavelength region.
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References
G. Kalman, ed.,Strongly Coupled Plasmas (Plenum Press, New York, to be published).
J. P. Hansen, I. R. McDonald, and E. L. Pollock,Phys. Rev. A 11:1025 (1975);
P. Vieillefosse and J. P. Hansen,Phys. Rev. A 12:1106 (1975).
J. P. Hansen and I. R. McDonald,Phys. Rev. A 11:2111 (1975)
E. L. Pollock and B. J. Alder,Phys. Rev. A 15:1263 (1977)
I. R. McDonald, P. Vieillefosse, and J. P. Hansen,Phys. Rev. Lett. 39:271 (1977)
B. Larsen,J. Chem. Phys. 65: 3431 (1976).
S. Ichimaru, H. Totsuji, T. Tange, and D. Pines,Prog. Theor. Phys. 54:1077 (1975);
H. Gould and G. F. Mazenko,Phys. Rev. A 15:1274 (1977);
G. Stell, B. Larsen, and K. C. Wu,Phys. Rev. Lett. 37:1369 (1976);
J. S. HØye and G. Stell,J. Chem. Phys. 67:1776 (1977).
M. Baus,Physica 79A:377 (1975);Phys. Rev. A 15:790 (1977);Physica 88A: 319,336,591 (1977);
M. Baus and J. Wallenborn,J. Stat. Phys. 16:91 (1977);
J. Wallenborn and M. Baus,Phys. Lett. 61A:35 (1977).
M. W. Cole and M. H. Cohen,Phys. Rev. Lett. 23:1238 (1969).
M. W. Cole,Rev. Mod. Phys. 46:451 (1974).
A. L. Fetter,Phys. Rev. B 10:3739 (1974);
P. M. Platzman and N. Tzoar,Phys. Rev. B 13:3197 (1976);
H. Totsuji,J. Phys. Soc. Japan 40:857 (1976).
C. C. Grimes and G. Adams,Phys. Rev. Lett. 36:145 (1976).
R. W. Hockney and T. R. Brown,J. Phys. C 8:1813 (1975);
H. Totsuji, Numerical experiment on two-dimensional electron liquids, preprint.
J. P. Hansen,Phys. Rev. A 6:3096 (1973).
G. Stell, inStatistical Mechanics, Part A, B. J. Berne, ed. (Plenum Press, New York, 1977).
Y. Pomeau and P. Résibois,Physics Reports 19:63 (1975).
M. Baus and J. Wallenborn,J. Stat. Phys. 16:91 (1977).
D. Forster and P. C. Martin,Phys. Rev. A 2:1575 (1970),9:943 (1974).
A. Onuki, submitted toJ. Phys. Soc. Japan.
P. Résibois,Physica 49:591 (1970).
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Baus, M. Collective modes and dynamic structure factor of a two-dimensional electron fluid. J Stat Phys 19, 163–176 (1978). https://doi.org/10.1007/BF01012509
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DOI: https://doi.org/10.1007/BF01012509