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Solution of Ornstein-Zernike equation for one-dimensional fluids
Authors:B B Deo  B P Das  A C Naik
Affiliation:(1) Department of Physics, Utkal University, 751 004 Bhubaneswar, India
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.
Keywords:Ornstein-Zernike equation  one-dimensional fluid  hard rod  Baxter method  direct correlation function  total correlation function  radial distribution function  exponential tail  van der Waals limit  phase transition
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