Surface Diffusion pp 443-453 | Cite as
Monte Carlo Simulation of Surface Diffusion on Homogeneous and Heterogeneous Surfaces
Abstract
In recent years, lattice gas models have been introduced to study the effects of adsorbate-adsorbate interactions and surface heterogeneity on surface diffusion. In many cases, even lattice gas models are too complicated for exact analytical treatments of the diffusion problem, especially if ad-ad interactions are taken into consideration, and only in some exceptional cases general equations for the description of surface diffusion can be derived. However, the Monte Carlo method constitutes a powerful tool to analyze surface diffusion. As shown in previous publications, this method is extremely valuable to improve our understanding of adatom diffusion on homogeneous and heterogenous surfaces.
Keywords
Saddle Point Surface Diffusion Periodic Potential Coverage Dependence Chemical Diffusion CoefficientPreview
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References
- 1.R. Gomer, Rep. Prog. Phys. 53, 917 (1990).ADSCrossRefGoogle Scholar
- 2.R. Gomer, Surf. Sci. 38, 373 (1973).ADSCrossRefGoogle Scholar
- 3.M.L. Lozano and M.C. Tringides, Europhys. Lett. 30, 537 (1995).ADSCrossRefGoogle Scholar
- 4.K. Binder, in Phase Transitions and Critical Phenomena, C. Domb and J.L. Lebowitz, eds., Academic Press, New York, (1983), Vol. IIX, p. 1.Google Scholar
- 5.E. Bauer, in Structure and Dynamics of Surfaces II, W. Schommers and P. von Blanckenhagen, eds., Springer, Berlin, (1987), p. 115.Google Scholar
- 6.S.K. Ma, Modem Theory of Critical Phenomena, Benjamin, Reading, Mass., (1976).Google Scholar
- 7.D.P. Landau, in Monte Carlo Methods in Statistical Physics, K. Binder, ed., Springer-Verlag, Berlin, (1979).Google Scholar
- 8.D.P. Landau, in Applications of the Monte Carlo Method, K. Binder, ed., Springer-Verlag, Berlin, (1987).Google Scholar
- 9.K. Binder and D.P. Landau, Surf. Sci. 61, 577 (1976).ADSCrossRefGoogle Scholar
- 10.K. Binder and D.P. Landau, Phys. Rev. B 21, 1941 (1980).ADSGoogle Scholar
- 11.K. Kehr and K. Binder, in Applications of the Monte Carlo Method in Statistical Physics, Vol. 36 of Topics in Current Physics, 2nd ed., K. Binder, ed., Springer-Verlag, Berlin, (1987), p. 181.CrossRefGoogle Scholar
- 12.C. Uebing and R. Gomer, Ber. Bunsenges. Phys. Chem., in print.Google Scholar
- 13.C. Uebing and R. Gomer, J. Chem. Phys. 95, 7626 (1991).ADSCrossRefGoogle Scholar
- 14.M. Tringides and R. Gomer, Surf. Sci. 166, 419 (1986).ADSCrossRefGoogle Scholar
- 15.M. Tringides and R. Gomer, Surf. Sci. 145, 121 (1984).ADSCrossRefGoogle Scholar
- 16.C. Uebing and R. Gomer, J. Chem. Phys. 100, 7759 (1994).ADSCrossRefGoogle Scholar
- 17.G.E. Murch and R.J. Thorn, J. Phys. Chem. Solids 38, 789 (1977).ADSCrossRefGoogle Scholar
- 18.G.E. Murch, Phil. Mag. A 43, 871 (1981).ADSGoogle Scholar
- 19.A.D. LeClaire, in Physical Chemistry — An Advanced Treatise, H. Eyring, D. Henderson, and W. Jost, eds., Academic Press, New York, (1970), Vol. 10.Google Scholar
- 20.G. Mazenko, J.R. Banavar, and R. Gomer, Surf. Sci. 107, 459 (1981).ADSCrossRefGoogle Scholar
- 21.D.A. Reed and G. Ehrlich, Surf. Sci. 105, 603 (1981).ADSCrossRefGoogle Scholar
- 22.C. Uebing and R. Gomer, J. Chem. Phys. 95, 7636 (1991).ADSCrossRefGoogle Scholar
- 23.C. Uebing and R. Gomer, J. Chem. Phys. 95, 7641 (1991).ADSCrossRefGoogle Scholar
- 24.C. Uebing and R. Gomer, J. Chem. Phys. 95, 7648 (1991).ADSCrossRefGoogle Scholar
- 25.L. Onsager, Phys. Rev. 65, 117 (1944).MathSciNetADSMATHCrossRefGoogle Scholar
- 26.A.V. Myshlyavtsev, A.P. Stepanov, C. Uebing, and V.P. Zhdanov, Phys. Rev. B 52, 5977 (1995).ADSGoogle Scholar
- 27.C. Uebing and R. Gomer, Surf. Sci. 331-333, 930 (1995).ADSCrossRefGoogle Scholar
- 28.V. Mayagoitia, F. Rojas, V. Pereyra, and G. Zgrablich, Surf. Sci. 221, 394 (1989).ADSCrossRefGoogle Scholar
- 29.V. Mayagoitia, F. Rojas, J.L. Riccardo, V. Pereyra, and G. Zgrablich, Phys. Rev. B 41, 7150 (1990).ADSGoogle Scholar
- 30.E. Viljoen and C. Uebing, Surf. Sci., in print.Google Scholar
- 31.E. Viljoen and C. Uebing, Langmuir, in print.Google Scholar
- 32.C. Uebing, V. Pereyra, and G. Zgrablich, Surf. Sci., in print.Google Scholar
- 33.C. Uebing, Ber. Bunsenges. Phys. Chem. 99, 951 (1995).Google Scholar
- 34.C. Uebing and R. Gomer, Surf. Sci. 306, 419 (1994).ADSCrossRefGoogle Scholar
- 35.C. Uebing and R. Gomer, Surf. Sci. 306, 427 (1994).ADSCrossRefGoogle Scholar
- 36.C. Uebing and R. Gomer, Surf. Sci. 317, 165 (1994).ADSCrossRefGoogle Scholar
- 37.C. Uebing, Phys. Rev. B 49, 13913 (1994).ADSGoogle Scholar