Abstract
An extension of the replica Ornstein-Zernike (ROZ) equations for partly quenched polydisperse systems is presented. Explicit calculations have been performed for a monodisperse hard sphere fluid confined by a polydisperse hard sphere disordered matrix by using Percus-Yevick and hypernetted chain (HNC) approximations. The chemical potential of adsorbed fluid species has been evaluated. A numerical solution of the ROZ equations makes use of the orthonormal polynomials with the weight function corresponding to the distribution function of the diameters of matrix species. We have also compared the results of theoretical predictions with Monte Carlo simulation in a canonical ensemble. The result of this comparison suggests that the HNC approximation performs slightly better in predicting the structural properties of the system.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
G.A. Mansoori, N.F. Carnahan, K.E. Starling, and T.W. Leland: J. Chem. Phys.54 (1971) 1523.
J.J. Salacuse and G. Stell: J. Chem. Phys.77 (1982) 3715.
K.A. Johnson, D.A. Jonah, M.J. Kincaid, and G. Morrison: J. Chem. Phys.82 (1985) 5178.
P. McRae and A.D.J. Haymet: J. Chem. Phys.88 (1988) 1114.
J.G. Briano and E.D. Glandt: J. Chem. Phys.80 (1984) 3336.
D.A. Kofke and E.D. Glandt: J. Chem. Phys.87 (1987) 4881.
D.A. Kofke and E.D. Glandt: J. Chem. Phys.90 (1989) 439.
J.M. Kincaid, R.A. McDonald, and G. Morrison: J. Chem. Phys.97 (1987) 5425.
J.A. Gualtieri, J.M. Kincaid, and G. Morrison: J. Chem. Phys.77 (1982) 521.
R. Aris and G.R. Gavalas: Philos. Trans. R. Soc. London Ser. A260 (1966) 351.
F. Lado: Phys. Rev. E54 (1996) 4411.
F. Lado: J. Chem. Phys.108 (1998) 6441.
B. D’Aguanno, R. Klein, J.M. Mendez-Alcaraz, and G. Nagele: inComplex Fluids, Lecture Notes in Physics, Vol. 415, (Ed. L. Garrido), Springer-Verlag, Barcelona, 1992.
X.L. Chu, A.D. Nikolov, and D.T. Wasan: Langmuir12 (1996) 5004.
M. Kotliarchyk, R.B. Stephens, and J.S. Huang: J. Phys. Chem.92 (1988) 1533.
J.A. Given and G. Stell: Physica A209 (1994) 495.
J.A. Given and G. Stell: inProc. XVIth International Workshop on Condensed Matter Theories (Eds. L. Blum and F.B. Malik), Plenum, New York, 1993.
W.G. Madden and E.D. Glandt: J. Stat. Phys.51 (1988) 537.
W.G. Madden: J. Chem. Phys.96 (1992) 5422.
C. Vega, R.D. Kaminsky, and P.A. Monson: J. Chem. Phys.99 (1993) 3003.
E. Lomba, J.A. Given, G. Stell, J.J. Weis, and D. Levesque: Phys. Rev. E48 (1993) 233.
M.L. Rosinberg, G. Tarjus, and G. Stell: J. Chem. Phys.100(1994) 5172.
J.A. Given: J. Chem. Phys.102 (1995) 2934.
D.M. Ford and E.D. Glandt: Phys. Rev. E50 (1994) 1280; J. Chem. Phys.100 (1994) 2391.
E. Kierlik, M.L. Rosinberg, G. Tarjus, and P.A. Monson: J. Chem. Phys.106 (1997) 264.
A. Trokhymchuk, O. Pizio, M. Holovko, and S. Sokołowski: J. Chem. Phys.106 (1997) 200.
O. Pizio and S. Sokołowski: Phys. Rev. E56 (1997) R63.
Ja. Ilnytskij, O. Pizio, and S. Sokołowski: J. Phys. Chem. B103 (1999) 868.
J.M.D. MacElroy and K. Raghavan: J. Chem. Phys.93 (1990) 2068.
R.D. Kaminsky and P. Monson: J. Chem. Phys.95 (1991) 2936.
E.F. Van Sant, P. van der Voort, and K.C. Vracken:Characterization and chemical modification of the silica surface, Elsevier, Amsterdam, 1995.
I.E. Neimark:Synthetic mineral adsorbents and catalytic supports, Naukova Dumka, Kiev, 1982 (in Russian).
Y. Tsuchiya, K. Kurabayashi, and H. Moroboshi: US Patent No. 5136473 (1992).
M. Cardenas, S. Franz, and G. Parisi: J. Chem. Phys.110 (1999) 1726.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Pizio, O., Sokołowska, Z. & Sokołowski, S. Effects of polydispersity in quenched-annealed fluids: An integral equation approach. Czech J Phys 50, 769–783 (2000). https://doi.org/10.1023/A:1022891004122
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1023/A:1022891004122