Abstract
We study a model of interacting lattice gases M and X on two interpenetrating square sublattices with nearest neighbor attaction ϕ MX and next nearest neighbor repulsion ϕ XX in the X sublattice. By calculating ground-state energies of the relevant lattice gas phases LG, M, X, MX,c(2×2) X andc(2×2) M2X we obtain ground-state phase diagrams for various values of R ≡ ϕ XX /ϕ MX . Standard Monte Carlo simulation techniques are applied to investigate the lattice gas models at nonzero temperatures for the caseR=−0.5. The simulations are performed in the grand canonical ensemble with the chemical potentials μ M , μ X and temperatureT as independent variables. From adsorption isotherms θ M (μ M , μ X ) and θ X (μ M , μ X ) various phase transition, of first and second order between different lattice gas phases are identified. We calculate phase diagrams for the caseR=−0.5, which are compared to corresponding phase diagrams forR=0 andR=−1. Finally we discuss the applicability of such lattice gas models for the description of cosegregation processes.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Landau, D.P.: Phys. Rev. B21, 1285 (1980)
Binder, K., Landau, D.P.: Surface Sci.108, 503 (1981)
Binder, K., Landau, D.P.: Phys. Rev. B21, 1941 (1980)
Landau, D.P.: In: Monte Carlo methods in statistical physics. Topics in Current Physics. Vol. 7, Binder, K. (ed.). Berlin, Heidelberg, New York: Springer 1979
Bauer, E.: In: Structure and dynamics of surfaces II. Topics in Current Physics. Vol. 43, Schommers, W von, Blanckenhagen, P. (eds.). Berlin, Heidelberg, New York: Springer 1987
Viefhaus, H., Peters, J., Grabke, H.J.: Surf. Interface Anal.10, 280 (1987)
Uebing, C., Viefhaus, H., Grabke, H.J.: Appl. Surf. Sci.32, 363 (1988)
Uebing, C.: Surface Sci.225, 97 (1990)
Uebing, C., Viefhaus, H., Grabke, H.J.: Surf. Sci.264, 114 (1992)
Uebing, C., Viefhaus, H.: Surf. Sci.236, 29 (1990)
Uebing, C.: Surf. Sci.272, 247 (1992)
Uebing, C.: Phys. Rev. B47, 15909 (1993)
Onsager, L.: Phys. Rev.65, 117 (1944)
Yang, C.N.: Phys. Rev.85, 808 (1942)
McCoy, B.M., Wu, T.T.: The two-dimensional Ising model. Cambridge, Mass.: Harvard University 1977
Metropolis, N., Rosenbluth, A.W., Rosenbluth, M.N., Teller, A.H., Teller, E.: J. Chem. Phys.21, 1087 (1953)
Binder, K., Stauffer, D.: In: Applications of the Monte Carlomethod in statistical physics). Topics in Current Physics. Vol 36, Binder, K. (ed.). Berlin, Heidelberg, New York: Springer 1984
Uebing, C.: (in preparation)
Grabke, H.J., Viefhaus, H.: Surface segregation and related phenomena. Dowben, P.A., Miller, A. (eds.). Boca Raton: CRC Press 1990
Grabke, H.J.: Paulitschke, W., Tauber, G., Viefhaus, H.: Surf., Sci.63, 377 (1977)
Grabke, H.J., Viefhaus, H., Tauber, G.: Arch. Eisenhüttenwes.49, 391 (1978)
Grabke, H.J.: ISIJ Int.29, 529 (1989)
Diekmann, W., Panzner, G., Grabke, H.J.: Surf. Sci.218, 507 (1989)
Uebing, C., Viefhaus, H., Grabke, H.J.: Nichtmetalle in Metallen. Hirschfeld D. (ed.). Oberursel: Deutsche Gesellschaft für Metallkunde 1988
Uebing, C., Viefhaus, H., Grabke, H.J.: Ber. Bunsenges. Phys. Chem.93, 1363 (1990)
Uebing, C., Viefhaus, H., Grabke, H.J.: Surface segregation and related phenomena. Dowben, P.A., Miller, A. (eds.). Boca Raton: CRC Press 1990
Leygraf, C., Hultquist, G.: Surf. Sci.61, 60 (1976)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Uebing, C. Ordering in lattice gases with competing interactions on interpenetrating square sublattices. Z. Physik B - Condensed Matter 92, 389–398 (1993). https://doi.org/10.1007/BF01308759
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01308759