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Density Functional Theory for Studies of Multiple States of Inhomogeneous Fluids at Solid Surfaces and in Pores

Published online by Cambridge University Press:  10 February 2011

A. V. Neimark
Affiliation:
TRI/Princeton, 601 Prospect Av., Princeton, NJ, 08542–0625, [email protected] Chemical Engineering/Yale University, New Haven, CT, 06520–8286
P. I. Ravikovitch
Affiliation:
Chemical Engineering/Yale University, New Haven, CT, 06520–8286
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Abstract

Two new versions of the density functional theory (DFT), which correspond to the canonical ensemble and the Gibbs ensemble respectively, are applied to study multiple equilibrium states and associated hysteresis on examples of capillary condensation of argon in nanopores of MCM-41 mesoporous molecular sieves and Kr adsorption on carbon. The canonical ensemble DFT (CEDFT) allows us to trace not only the stable and the metastable states along the hysteresis loop, but also the unstable states inside the hysteresis loop. The Gibbs ensemble DFT (GEDFT) allows us to determine precisely the points of equilibrium phase transitions in confined fluids.

Type
Research Article
Copyright
Copyright © Materials Research Society 1998

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References

REFERENCES

1. Evans, R., in Fundamentals of Inhomogeneous Fluids, Henderson, D., Ed.; Marcel Dekker: New York, 1992.Google Scholar
2. Neimark, A.V., Langmuir, 11, 4183 (1995).Google Scholar
3. Ravikovitch, P.I., Neimark, A.V., Domhnaill, S.C.Ó, Schüth, F., Unger, K.K., Langmuir, 11, 4765 (1995).Google Scholar
4. Neimark, A.V., Ravikovitch, P.I., Langmuir, 13, 5148 (1997).Google Scholar
5. Neimark, A. V., Ravikovitch, P.I., in Dynamics in Small Confining Systems III, Eds. Drake, J.M., Klafter, J., Kopelman, R., MRS Symposium Proceedings Volume 464, 1997, p. 165.Google Scholar
6. Tarazona, P., Phys. Rev. A, 31, 2672 (1985).Google Scholar
7. Evans, R., Marini Bettolo Marconi, U., and Tarazona, P., J. Chem. Phys., 84, 2376 (1985).Google Scholar
8. Gusev, V. Yu., Neimark, A.V., Paper L17, TRI/Princeton Workshop “Characterization of Porous Materials: from Angstroms to Millimeters”, June 18–20, 1997, Princeton, NJ; Gusev, V. Yu., Neimark, A.V., Paper S 1.6, 1997 MRS Fall Meeting, Dec. 1–5, 1997, Boston, MA.Google Scholar
9. Panagiotopoulos, A.Z., Molecular Physics, 61, 813 (1987); 62, 701 (1987).Google Scholar
10. Press, W.H., Flannery, B.P., Teukolsky, S.A., Vetterling, W.T.. Numerical Recipes in C: The Art of Scientific Computing, Second Edition, Cambridge University Press: Cambridge, 1992.Google Scholar