Adsorption of fluids in confined disordered media from inhomogeneous replica Ornstein-Zernike equations

Orest Pizio; Stefan Sokolowski

doi:10.1103/PhysRevE.56.R63

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Adsorption of fluids in confined disordered media from inhomogeneous replica Ornstein-Zernike equations

Orest Pizio¹ and Stefan Sokolowski²

¹Instituto de Química de la Universidad Nacional Autónoma de México, Circuito Exterior, Coyoacán 04510, Distrito Federal, Mexico
²Department for the Modelling of Physico-Chemical Processes, Faculty of Chemistry, Marie Sklodowska Curie University, 200-31 Lublin, Poland

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Phys. Rev. E 56, R63(R) – Published 1 July, 1997

DOI: https://doi.org/10.1103/PhysRevE.56.R63

Abstract

The density distribution and pair distribution function for a fluid adsorbed in a slitlike pore filled with a quenched hard-sphere fluid have been investigated using the inhomogeneous replica Ornstein-Zernike equations. The one-particle and two-particle functions are related via Born-Green-Yvon equation and the inhomogeneous Percus-Yevick approximation is used. The effect of the matrix is to lower the amount of adsorbed fluid in the entire pore at low chemical potentials. For high values of the fluid chemical potential, layering of adsorbed fluid is observed. The solution of the problem is important for gel-exclusion chromatography and in separation science.

References (17)

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[c1] B. J. Frisken and D. S. Cannell, Phys. Rev. Lett. 69, 632 (1992).

[c2] M. C. Goh, W. I. Goldburg, and C. M. Knobler, Phys. Rev. Lett. 58, 1008 (1987).

[c3] A. P. Y. Wong, S. B. Kim, W. I. Goldburg, and M. H. W. Chan, Phys. Rev. Lett. 70, 954 (1993).

[c4] S. B. Dierker and P. Wiltzius, Phys. Rev. Lett. 66, 1185 (1991).

[c5] J. A. Given and G. Stell, Physica A 209, 495 (1994).

[c6] W. G. Madden and E. D. Glandt, J. Stat. Phys. 51, 537 (1988).

[c7] J. A. Given and G. Stell, J. Chem. Phys. 97, 4573 (1992).

[c8] D. M. Ford and E. D. Glandt, Phys. Rev. E 50, 1280 (1994).

[c9] E. Pitard, M. L. Rosinberg, G. Stell, and G. Tarjus, Phys. Rev. Lett. 74, 4361 (1995).

[c10] C. Vega, R. D. Kaminsky, and P. A. Monson, J. Chem. Phys. 99, 3003 (1993).

[c11] K. S. Page and P. A. Monson, Phys. Rev. E 54, R29 (1996).

[c12] M. L. Rosinberg, G. Tarjus, and G. Stell, J. Chem. Phys. 100, 5172 (1994).

[c13] E. Lomba, J. A. Given, G. Stell, J. J. Weis, and D. Levesque, Phys. Rev. E 48, 233 (1993).

[c14] W. Dong, E. Kierlik, and M. L. Rosinberg, Phys. Rev. E 50, 4750 (1994).

[c15] A. Meroni, D. Levesque, and J. J. Weis, J. Chem. Phys. 105, 1101 (1996).

[c16] S. Sokołowski, J. Chem. Phys. 73, 3507 (1980).

[c17] D. Henderson, S. Sokołowski, and D. T. Wasan, J. Stat. Phys. (to be published).

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Adsorption of fluids in confined disordered media from inhomogeneous replica Ornstein-Zernike equations

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