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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

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.

B B Deo¹ B P Das¹ A C Naik¹

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

Published

January 1982

Manuscript received

19 September 1981