Abstract
We describe the decay of isolated features (circular islands) on generic surfaces through models and simulations. A continuum model based on the Gibbs-Thomson relation is presented which provides the framework for understanding the time evolution of isolated nanoscale islands on surfaces. The assumptions of the continuum model are tested through Monte Carlo simulations of island decay and are found to be valid down to very small island sizes. Quantitative comparisons are made between the results of the simulations and the continuum model, providing insights into the relationship between continuum and microscopic parameters.
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
G. W. Greenwood, Ada. Metall. 4, 243 (1956).
I. M. Lifshitz and V. V. Slezov, Sov. Phys.—JETP 8, 331 (1959), [Trans. of Zh. Eksp. Teor. Fiz. 35, 479 (1958)].
I. M. Lifshitz and V. V. Slyozov, J. Phys. Chem. Solids 19, 35 (1961).
C. Wagner, Z. Elektrochem. 65, 581 (1961).
B. K. Chakraverty, J. Phys. Chem. Solids 28, 2401 (1967).
P. Wynblatt and N. A. Gjostein, in Supported Metal Crystallites, Vol. 9 of Progress in Solid State Chemistry, J. O. McCaldin and G. Somorjai, eds., Pergamon, Oxford, 1975, Chap. 2, p. 21.
C. V. Thompson, Acta Metall. 36, 2929 (1988).
D. B. Dadyburjor, S. P. Marsh, and M. E. Glicksman, J. Catalysis 99, 358 (1986).
J. A. Marqusee, J. Chem. Phys. 81, 976 (1984).
P. W. Voorhees, J. Stat. Phys. 38, 231 (1985).
M. Zinke-Allmang, Scanning Microscopy 4, 523 (1990).
D. J. Trevor and C. E. D. Chidsey, J. Vac. Sci. Technol. B 9, 964 (1991).
D. R. Peale and B. H. Cooper, J. Vac. Sci. Technol. A 10, 2210 (1992).
B. H. Cooper, D. R. Peale, J. G. McLean, R. Phillips, and E. Chason, in Evolution of Surface and Thin Film Microstructures, Vol. 250 of MRS Symposia Proc., H. A. Atwater, E. Chason, M. H. Grabow, and M. Lagally, eds., Mat. Res. Soc., Pittsburgh, PA, 1993, p. 37.
T. Michely, M. Hohage, M. Bott, and G. Comsa, Phys. Rev. Lett. 70, 3943 (1993).
W. Theis, N. C. Bartelt, and R. M. Tromp, Phys. Rev. Lett. 75, 3328 (1995).
K. Morgenstern, G. Rosenfeld, and G. Comsa, Phys. Rev. Lett. 76, 2113 (1996).
J. Villain, Europhys. Lett. 2, 531 (1986).
M. A. Dubson and G. Jeffers, Phys. Rev. B 49, 8347 (1994).
B. Krishnamachari, J. G. McLean, J. P. Sethna, and B. H. Cooper, Phys. Rev. B 54, 8899 (1996).
J. G. McLean, Ph.D. thesis, Cornell University, 1996.
J. G. McLean, B. Krishnamachari, D. R. Peale, E. Chason, J. P. Sethna, and B. H. Cooper, submitted for publication.
M. Breeman, G. T. Barkema, and D. O. Boerma, Surf. Sci. 303, 25 (1994).
J. E. Avron, H. Van Beijeren, L. S. Schulman, and R. K. P. Zia, J. Phys. A: Math, Gen. 15, L81 (1982).
G. Parisi, Statistical Field Theory, Addison Wesley, 1988, Chap. 4, p. 46.
M. F. Sykes, J. W. Essam and D. S. Gaunt, J. Math. Phys. 6, 283, Feb (1965).
S. V. Khare, N. C. Bartelt, and T. L. Einstein, Phys. Rev. Lett. 75, 2148 (1995). This work contains investigations of the shape fluctuations of clusters in equilibrium, similar to our size fluctuation analysis.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1997 Springer Science+Business Media New York
About this chapter
Cite this chapter
McLean, J.G., Krishnamachari, B., Chason, E., Peale, D.R., Sethna, J.P., Cooper, B.H. (1997). A Model and Simulation of the Decay of Isolated Nanoscale Surface Features. In: Tringides, M.C. (eds) Surface Diffusion. NATO ASI Series, vol 360. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-0262-7_33
Download citation
DOI: https://doi.org/10.1007/978-1-4899-0262-7_33
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4899-0264-1
Online ISBN: 978-1-4899-0262-7
eBook Packages: Springer Book Archive