Abstract
Using the computer simulation techniques of classical and quantum statistical mechanics, we have studied the micro structures of rare-gas krypton and helium monolayer films physisorbed on graphite. While the adsorbate-adsorbate and adsorbate-substrate interactions are short-range and simple, the incommensurability of the unrelaxed rare-gas film and the graphite substrate gives rise to a relaxed modulated film structure exhibiting the symmetry of the substrate face with characteristic length scales spanning tens to thousands of angstroms. The distinct advantage of computer simulation is that these microstructures may be directly “seen” at the atomistic level.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
O. E. Vilches: Ann. Rev. Phys. Chem. 31, 463 (1980)
A. Thorny, X. Duval, J. Regnier: Surf. Sci. Rep. 1, 1 (1981)
M. Nielsen, J. Als-Nielsen, J. Bohr, J. P. McTague: Phys. Rev. Lett. 47, 582 (1981)
M. D. Chinn, S. C. Fain: Phys. Rev. Lett. 39, 146 (1977)
S. C. Fain, M. D. Chinn, R. D. Diehl: Phys. Rev. B 21, 4170 (1980)
P. W. Stephens, P. Heiney, R. J. Birgeneau, P. M. Horn: Phys. Rev. Lett. 43, 47 (1979)
P. W. Stephens, P. A. Heiney, R. J. Birgeneau, P. M. Horn: D. E. Moncton, G. S. Brown, Phys. Rev. B 29, 3512 (1984)
R. J. Birgeneau, E. M. Hammonds, P. Heiney, P. W. Stephens, P. M. Horn: In Ordering in Two Dimensions, ed. by S. K. Sinha (Plenum, New York 1980)
D. E. Moncton, P. W. Stephens, R. J. Birgeneau, P. M. Horn, G. S. Brown: Phys. Rev. Lett. 46, 1533 (1981)
P. Bäk, D. Mukamel, J. Villain, K. Wentkowska: Phys. Rev. B 19, 1610 (1979)
H. Shiba: J. Phys. Soc. Jpn. 46, 1852 (1979)
J. Villain: In Ordering in Strongly Fluctuating Condensed Matter Systems, ed. by T. Riste (Plenum, New York 1980), p.221
J. Villain: In Ordering in Two Dimensions, ed. by S. K. Sinha (North-Holland New York 1980), p. 123
P. Bak: Rep. Prog. Theor. Phys. 45, 587 (1982)
S. N. Coppersmith, D. S. Fisher, B. I. Halperin, P. A. Lee, W. F. Brinkman: Phys. Rev. Lett 46, 549 (1981)
S. N. Coppersmith, D. S. Fisher, B. I. Halperin, P. A. Lee, W. F. Brinkman: Phys. Rev. B 25, 349 (1982)
D. A. Huse, M. E. Fisher: Phys. Rev. Lett. 49, 793 (1982)
M. Kardar, A. N. Berker: Phys. Rev. Lett. 48, 1552 (1982)
J. Villain, M. B. Gordon: Surf. Sci. 124, 1 (1983). This gives an up-to-date review and comparison with experiment.
M. Schoebinger, S. W. Koch: Z. Phys. B 53, 233 (1983)
F. Hanson, J. P. McTague: J. Chem. Phys. 72, 6363 (1980)
F. F. Abraham, S. W. Koch, W. E. Rudge: Phys. Rev. Lett. 49, 1830 (1982)
F. F. Abraham, W. E. Rudge, D. J. Auerbach, S. W. Koch: Phys. Rev. Lett. 52, 445 (1984)
S. W. Koch, F. F. Abraham: Helv. Phys. Acta 56, 755 (1983)
S. W. Koch, W. E. Rudge, F. F. Abraham: Surf. Sci. 145, 329 (1984)
R. J. Gooding, B. Joos, B. Bergerson: Phys. Rev. B 27, 7669 (1983)
J. S. Whitehouse, D. Nicholson, N. G. Parsonage: Mol. Phys. 49, 829 (1983)
F. C. Frank, J. H. van der Merwe: Proc. Roy. Soc. London 198, 205 (1949)
J. P. McTague, A. D. Novaco: Phys. Rev. B 19, 5299 (1979)
M. Schoebinger, F. F. Abraham: Phys. Rev. B 31, 4590 (1985)
A. D. Migone, H. K. Kim, M. H. W. Chan, J. Talbot, D. J. Tildesley, W. A. Steele: Phys. Rev. Lett. 51, 192 (1983)
J. Talbot, D. J. Tildesley, W. A. Steele: Mol. Phys. 51, 1331 (1983)
S. Sokolowski, W. A. Steele: Mol. Phys. 54, 1453 (1985)
J. Piper, J. A. Morrison, C. Peters: Mol. Phys. 53, 1463 (1984)
C. Peters, M. L. Klein: Mol. Phys. 54, 895 (1985)
C. Peters, M. L. Klein: Phys. Rev. B 32, 6077 (1985)
F. F. Abraham, J. Q. Broughton: Phys. Rev. Lett, submitted.
M. Schick: In Phase Transitions in Surface Films, ed. by J. G. Dash and J. Ruvalds (Plenum, New York), p.68
B. J. Alder, D. M. Ceperley, E. L. Pollock: Acc. Chem. Res. 18, 268 (1985)
D. M. Ceperley, B. J. Alder: Science 231, 555 (1986)
D. M. Ceperley, E. L. Pollock: Phys. Rev. Lett. 56, 351 (1986)
F. C. Motteler: “A heat capacity study of p-H2 monolayers on graphite,” Ph.D. Dissertation (University of Washington, Seattle Washington 1986).
T. Halpin-Healy, M. Kardar: Phys. Rev. B34, 318 (1986).
S. C. Fain: private communication. One of the authors (FFA) is indebted to Professor Fain for pointing out that we were possibly simulating a domain wall liquid and for bringing references 42 and 43 to his attention.
M. Takahashi, M. Imada: J. Phys. Soc. Jpn. 53, 963 (1984)
M. Takahashi, M. Imada: J. Phys. Soc. Jpn. 53, 3765 (1984)
M. Imada, M. Takahashi: J. Phys. Soc. Jpn. 53, 3770 (1984)
In reference 45, it is stated that the determinate evaluation scales as the cube power of the number of particles. However, in the Monte Carlo procedure, only one row is changed for an attempted displacement, and an algorithm for the determinate evaluation has been devised that scales as the square of the number of particles (Nimrod Megiddo, IBM ARC, San Jose, California, private communication).
M. W. Cole, J. R. Klein: Surf. Science 124, 547 (1983)
F. F. Abraham: Adv. Phys. 35, Sec. 4.2, 1 (1986)
The details of convergence, exchange and energetics will be described in an expanded publication.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1988 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Abraham, F.F. (1988). Microstructures of Rare-Gas Films Adsorbed on Graphite: Classical and Quantum Simulations. In: LeSar, R., Bishop, A., Heffner, R. (eds) Competing Interactions and Microstructures: Statics and Dynamics. Springer Proceedings in Physics, vol 27. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-73498-4_16
Download citation
DOI: https://doi.org/10.1007/978-3-642-73498-4_16
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-73500-4
Online ISBN: 978-3-642-73498-4
eBook Packages: Springer Book Archive