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    • Solution of Ornstein-Zernike equation for one-dimensional fluids

      B B Deo B P Das A C Naik

      Liquids Volume 18 Issue 1 January 1982 pp 89-98

    • Fulltext

       

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      https://www.ias.ac.in/article/fulltext/pram/018/01/0089-0098

    • 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

    • 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.

    • Author Affiliations

       

      B B Deo1 B P Das1 A C Naik1

      1. Department of Physics, Utkal University, Bhubaneswar - 751 004, India

    • Dates

       
      Published
      January 1982
      Manuscript received
      19 September 1981

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