Abstract
A binary quenched-annealed hard core mixture is considered in one dimension in order to model fluid adsorbates in narrow channels filled with a random matrix. Two different density functional approaches are employed to calculate adsorbate bulk properties and interface structure at matrix surfaces. The first approach uses Percus' functional for the annealed component and an explicit averaging over matrix configurations; this provides numerically exact results for the bulk partition coefficient and for inhomogeneous density profiles. The second approach is based on a quenched-annealed density functional whose results we find to approximate very well those of the former over the full range of possible densities. Furthermore we give a derivation of the underlying replica density functional theory.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
L. Tonks, Phys.Rev. 50:955 (1936).
H. N. W. Lekkerkerker and B. Widom, Physica A 285:483 (2000).
S. M. Oversteegen and H. N. W. Lekkerkerker, Physica A 310:181 (2002).
J. M. Brader and R. Evans, Physica A 306:287 (2002).
U. Marini Bettolo Marconi, and P. Tarazona, J. Chem. Phys. 110:8032 (1999).
F. Penna and P. Tarazona, J. Chem. Phys. 119:1766 (2003).
R. D. Kaminsky and P. A. Monson, Langmuir 9:561 (1993).
J. K. Percus, J. Stat. Phys. 15:505 (1976).
J. K. Percus, J. Stat. Phys. 28:67 (1982).
W. G. Madden and E. D. Glandt, J. Stat. Phys. 51:537 (1988).
J. A. Given and G. Stell, J. Chem. Phys. 97:4573 (1992).
M. Schmidt, Phys. Rev. E 66:041108 (2002).
R. Evans, Adv. Phys. 28:143 (1979).
R. Evans, in Fundamentals of Inhomogeneous Fluids, D. Henderson, ed. (Dekker, New York, 1992), Chap. 3, p. 85.
Y. Rosenfeld, Phys. Rev. Lett. 63:980 (1989).
Y. Rosenfeld, M. Schmidt, H. Löwen, and P. Tarazona, Phys. Rev. E 55:4245 (1997).
P. Tarazona and Y. Rosenfeld, Phys. Rev. E 55R4873 (1997).
M. Schmidt, Phys. Rev. E 68:021106 (2003).
M. Schmidt and J. M. Brader, J. Chem. Phys. 1193495 (2003).
M. Schmidt, E. Schöll-Paschinger, J. Könger, and G. Kahl, J. Phys. Condens. Matter 14:12099 (2002).
P. P. F. Wessels, M. Schmidt, and H. Löwen, Phys. Rev. E 68:061404 (2003).
E. Kierlik, P. A. Monson, M. L. Rosinberg, L. Sarkisov, and G. Tarjus, Phys. Rev. Lett. 87:055701 (2001).
E. Kierlik, P. A. Monson, M. L. Rosinberg, and G. Tarjus, J. Phys. Condens. Matter 14:9295 (2002).
L. Lafuente and J. A. Cuesta, Phys. Rev. Lett. 89:145701 (2002).
L. Lafuente and J. A. Cuesta, J. Phys. Condens. Matter 14:12079 (2002).
M. Schmidt, L. Lafuente, and J. A. Cuesta, J. Phys. Condens. Matter 15:4695 (2003).
S. Torquato, B. Lu, and J. Rubinstein, Phys. Rev. A 41:2059 (1990).
Q.-H. Wei, C. Bechinger, and P. Leiderer, Science 287:625 (2000).
D. Goulding, J. P. Hansen, and S. Melchionna, Phys. Rev. Lett. 85:1132 (2000).
D. Goulding, S. Melchionna, and J. P. Hansen, Phys. Chem. Chem. Phys. 3:1644 (2001).
R. Evans, J. R. Henderson, D. C. Hoyle, A. O. Parry, and Z. A. Sabeur, Mol. Phys. 80:755 (1993).
R. Evans, R. J. F. Leote de Carvalho, J. R. Henderson, and D. C. Hoyle, J. Chem. Phys. 100:591 (1994).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Reich, H., Schmidt, M. Replica Density Functional Study of One-Dimensional Hard Core Fluids in Porous Media. Journal of Statistical Physics 116, 1683–1702 (2004). https://doi.org/10.1023/B:JOSS.0000041752.55138.0a
Issue Date:
DOI: https://doi.org/10.1023/B:JOSS.0000041752.55138.0a