Abstract
The solution of the Ornstein-Zernike equation with Yukawa closure [c(r)=\(\sum\limits_i {K_i e^{ - z_i (r - 1)} /r} \) forr>1] is generalized for an arbitrary number of Yukawas, using the Fourier transform technique introduced by Baxter. Full equivalence to the results of Waisman, Høye, and Stell is proved for the case of a single Yukawa. Finally, a convenient form of the Laplace transform ofg(s) is found, which can be easily inverted to give a stepwise, rapidly converging series forg(r).
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This research was partially supported by National Science Foundation, the Norwegian Research Council for Science and Humanities, and the donors of the Petroleum Research Fund, administered by the American Chemical Society.
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Høye, J.S., Blum, L. Solution of the Yukawa closure of the Ornstein-Zernike equation. J Stat Phys 16, 399–413 (1977). https://doi.org/10.1007/BF01013184
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DOI: https://doi.org/10.1007/BF01013184