Journal of Statistical Physics

, Volume 16, Issue 5, pp 399-413

First online:

Solution of the Yukawa closure of the Ornstein-Zernike equation

  • J. S. HøyeAffiliated withInstitutt for Teoretisk Fysikk, Universitetet i Trondheim
  • , L. BlumAffiliated withDepartment of Mechanical Engineering, State University of New York at Stony Brook

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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).

Key words

Mean spherical model simple fluids Ornstein-Zernike equation Baxter method generalized mean spherical model