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Phasie Transitions in Confined Molecularly-Thin Films

Published online by Cambridge University Press:  15 February 2011

John H. Cushman
Affiliation:
1150 Lilly Hall, Purdue Univ., W. Lafayette, IN 47907–1150
D. J. Diestler
Affiliation:
Dept. of Agronomy, Univ. of Nebraska, Lincoln, NE 68583
M. K. Schoin
Affiliation:
Universität Witten/Herdecke, Naturwissenschaftliche Fakultät, Inst. Experimentalphysik, Stockumer Strasse 10, 5810 Witten, Germany
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Abstract

Phase changes in Lennard-Jones (IJ) and Stockmayer fluids confined between two parallel fcc (100) planes of rigidly fixed IJ atoms are studied by means of mixed isostress-isostrain canonical and isostrain grand-canonical Monte Carlo methods, and a microcanonical ensemble molecular dynamics technique. A nonequilibrium continuum thermodynamic derivation of the constitutive laws for the basic slit-pore model is developed and an equilibrium statistical thermodynamics anolog is reviewed. Independent constitutive parameters are chosen from the list T, μ, Ēv or their thermodynamic duals μ, N, Tij where T is absolute temperature, μ is the chemical potential, Ēv is the infinitesimal strain tensor, N is the particle number, μ is the entropy and Tij is the Piola stress tensor.

Relaxation in monolayer films is studied via mean square displacement of an atom. The vicinal atoms are found to diffuse anomolously slow in accordance with a power-law relation.

Type
Research Article
Copyright
Copyright © Materials Research Society 1993

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References

1. Low, P.F., Langmuir 3, 181 (1987)Google Scholar
2. Etzler, F.M. and Drost-Hansen, W., in Advances in Chemistry Series. No. 188, edited by Bland, M. (American Chemical Society, Washington, D.C., 1980), p. 486.Google Scholar
3. Sterte, J., Clays Clay Min. 38, 609 (1990)Google Scholar
4. Granick, S., Science 253, 1374 (1991)Google Scholar
5. Cushman, J.H., Schoen, M., and Diestler, D.J., Chem. Phys. Lett., to be publishedGoogle Scholar
6. Han, K.K., Cushman, J.H. and Diestler, D.J., Mol. Phys., to be publishedGoogle Scholar
7. Schoen, M., Diestler, D.J., and Cushman, J.H., Mol. Phys., to be publishedGoogle Scholar
8. Schoen, M., Diesfler, D.J., and Cushman, J.H., Phys. Rev. B, to be publishedGoogle Scholar
9. Weiner, J.H., Statistical Mechanics of Elasticity (Wiley, New York, 1983)Google Scholar
10. Eringen, A.C., Mechanics of Continua (Wiley, New York, 1980)Google Scholar
11. Coleman, B.D. and Noll, W., Rev. Mod. Phys. 30, 239 (1961)Google Scholar
12. Schrödinger, E., Statistical Thermodynamics (Dover, New York, 1989)Google Scholar
13. Han, K.K., Cushman, J.H., and Diestler, D.J., J. Chem. Phys., 96, 7867 (1992)Google Scholar
14. Schoen, M., Diestler, D.J., and Cushman, J.H., J. Chem. Phys. 87, 5464 (1987)Google Scholar
15. Allen, M.P. and Tildesley, D.J., Computer Simulation of Liquids (Clarendon, Oxford, 1987)Google Scholar
16. Rhykerd, C.L. Jr., Schoen, M., Diestler, D.J. and Cushman, J.H., Nature 330, 461 (1987)Google Scholar
17. Schoen, M., Rhykerd, C.L. Jr., Diestler, D.J. and Cushman, J.H., Science 245, 1223 (1989)Google Scholar
18. Binder, K. and Heermann, D.W., Monte Carlo Simulation is Statistical Physics: An Introduction (Springer, Berlin, 1988)Google Scholar