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Density profiles of hard spheres in a cylinder filled with disordered matrix: application of the Born–Green–Yvon equation

Author

Listed:
  • Duda , Yu
  • Patrykiejew, A
  • Pizio, O
  • Sokołowski, S

Abstract

Local densities of a hard sphere fluid in a cylindrical pore filled with quenched disordered hard-sphere matrix are calculated using Born–Green–Yvon equation with Fisher–Methfessel approximation. The solution of replica Ornstein–Zernike equation in the Percus–Yevick approximation for a fluid in a homogeneous matrix is used as an input. A comparison of the density profiles with simulation data shows that the theory works satisfactorily for the considered matrix and fluid densities.

Suggested Citation

  • Duda , Yu & Patrykiejew, A & Pizio, O & Sokołowski, S, 1999. "Density profiles of hard spheres in a cylinder filled with disordered matrix: application of the Born–Green–Yvon equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 265(3), pages 424-431.
    • Handle: RePEc:eee:phsmap:v:265:y:1999:i:3:p:424-431
    DOI: 10.1016/S0378-4371(98)00538-X
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