Abstract
The application of Wiener-Hopf factorisation procedure as adopted by Baxter has been used to solve the one-dimensional Ornstein and Zernike (oz) equation for a fluid of interacting hard rods. Exact solution is obtained for the Kac potential in the van der Waals limit. We also obtain perturbative results which agree exactly with the lowest order calculations of Kac, Uhlenbeck and Hemmer.
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Deo, B.B., Das, B.P. & Naik, A.C. Solution of Ornstein-Zernike equation for one-dimensional fluids. Pramana - J Phys 18, 89–98 (1982). https://doi.org/10.1007/BF02846535
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DOI: https://doi.org/10.1007/BF02846535