Abstract
A model for an interface with localized adsorption is presented, in which the surface has a distribution of sticky adhesive sites in contact with a Coulomb fluid. Contrary to the current literature on the electrical double layer the surface charge is in dynamic equilibrium with the bulk fluid. The sum rules obeyed by the one- and two-body correlation functions are investigated. Explicit results are obtained for a solvable model, the two-dimensional one-component plasma at reduced temperature 2. The effect of the granularity of the adsorbed charge on the adsorption isotherm is discussed.
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References
S. L. Carnie and G. M. Torrie,Ada. Chem. Phys. 56:141 (1984).
R. J. Baxter,J. Chem. Phys. 49:2770 (1968).
B. Jancovici,J. Phys. Lett. 42:L223 (1981).
B. Jancovici,J. Stat. Phys. 28:l43 (1982);29:263 (1982).
E. R. Smith,J. Phys. A. Math. Gen. 15:1271 (1982).
B. Jancovici,J. Stat. Phys. 34:803 (1984).
L. Blum and B. Jancovici,J. Phys. Chem. 88:2294 (1984); L. Blum,J. Chem. Phys. 80:2953 (1984).
M. L. Rosinberg and L. Blum,J. Chem. Phys. 81:3700 (1984).
A. Alastuey and J. L. Lebowitz,J. Phys. 45:1859 (1984).
P. J. Forrester,J. Phys. A. Math. Gen. 18:1419 (1985).
B. Jancovici,Phys. Rev. Lett. 46:386 (1981).
D. Y. C. Chan, D. J. Mitchell, and B. W. Ninham,J. Chem. Phys. 72:5159 (1980).
S. L. Carnie and D. Y. C. Chan,J. Chem. Phys. 75:3485 (1981).
C. Gruber, J. L. Lebowitz, and P. A. Martin,J. Chem. Phys. 75:944 (1981); L. Blum, C. Gruber, J. L. Lebowitz, and P. A. Martin,Phys. Rev. Lett. 48:1769 (1982).
S. L. Carnie and D. Y. Chan,J. Chem. Soc. Far. Trans. 2:78, 695 (1980).
L. Blum, D. Henderson, J. L. Lebowitz, C. Gruber, and P. A. MartinJ. Chem. Phys. 75:5974 (1981).
H. Rademacher,Topics in Analytical Number Theory (Springer-Verlag, Berlin/Heidelberg/New York, 1973).
F. J. Dyson,J. Math. Phys. 3:140, 157, 166 (1962).
M. Gaudin,J. Phys.,34:511 (1973).
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Rosinberg, M.L., Lebowitz, J.L. & Blum, L. A solvable model for localized adsorption in a coulomb system. J Stat Phys 44, 153–182 (1986). https://doi.org/10.1007/BF01010909
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DOI: https://doi.org/10.1007/BF01010909