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Abstract <p>We consider the integral equations of statistical physics for the one- and two-particle distribution functions whose kernels are represented by infinite series of irreducible diagrams. An algorithm for calculating the first irreducible diagram is developed, which refines the Martynov–Sarkisov equation for a molecular system of hard spheres. It is shown that the Percus–Yevick approximation of the direct correlation function of spatially homogeneous liquids can be used for the direct correlation function of boundary layers of liquids.</p>

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Percus–Yevick Approximation for the Direct Correlation Function of the Boundary Layers of Liquids

  • 期刊论文

  • 发表日期：

    2025年12月21日

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  • Yu. V. Agrafonov,
  • I. S. Petrushin,
  • D. V. Khalaimov,
  • I. V. Bezler,
  • R. Yu. Leont’ev

摘要

Abstract

We consider the integral equations of statistical physics for the one- and two-particle distribution functions whose kernels are represented by infinite series of irreducible diagrams. An algorithm for calculating the first irreducible diagram is developed, which refines the Martynov–Sarkisov equation for a molecular system of hard spheres. It is shown that the Percus–Yevick approximation of the direct correlation function of spatially homogeneous liquids can be used for the direct correlation function of boundary layers of liquids.