Abstract
We have constructed the simple two-dimensional adsorption model with short range non-competing interactions which demonstrates devil’s staircase of phase transitions. The main factor which leads to the appearance of infinite amount of ordered structures in our model is two competing forms of adsorption. The ground state properties of the model have been analyzed.
Similar content being viewed by others
References
Bahr, C., Fliegner, D., Booth, C.J., Goodby, J.W.: Experimental indication of a devil’s staircase structure in a smectic liquid crystal. Phys. Rev. 51, 3823–3826 (1995)
Bak, P., Boehm, J.: Ising model with solitons, phasons, and “the devil’s staircase”. Phys. Rev. 21, 5297–5308 (1980)
Bak, P., Bruinsima, R.: One-dimensional Ising model and the complete Devil’s staircase. Phys. Rev. Lett. 49, 249–251 (1982)
Combe, G., Roux, J.N.: Strain versus stress in a model granular material: a Devil’s staircase. Phys. Rev. Lett. 85, 3628–3631 (2000)
Dávila, M., Riccardo, J.L., Ramirez-Pastor, A.J.: Fractional statistics description applied to adsorption of alkane binary mixtures in zeolites. J. Chem. Phys. 130, 174715 (2009)
Du, Z., Manos, G., Vlugt, T.J.H., Smit, B.: Molecular simulation of adsorption of short linear alkanes and their mixtures in silicalite. AIChE. J. 44, 1756–1764 (1998)
Fefelov, V.F., Gorbunov, V.A., Myshlyavtsev, A.V., Myshlyavtseva, M.D.: The simplest self-assembled monolayer model with different orientations of complex organic molecules. Monte Carlo and transfer-matrix techniques. Chem. Eng. J. 154, 107–114 (2009)
Fefelov, V.F., Gorbunov, V.A., Myshlyavtsev, A.V., Myshlyavtseva, M.D.: Thermodynamics of lattice gas models of multisite adsorption. In: Morales-Rodriguez, R. (ed.) Thermodynamics–fundamentals and its application in science chapter 15, pp. 389–416. In Tech, Rijeka (2012)
Fefelov, V.F., Gorbunov, V.A., Myshlyavtsev, A.V., Myshlyavtseva, M.D.: Model of homonuclear dimer adsorption in terms of two possible molecule orientations with respect to surface: square lattice. Phys. Rev. 82, 041602 (2010a)
Fefelov, V.F., Gorbunov, V.A., Myshlyavtsev, A.V., Myshlyavtseva, M.D., Evseeva, S.I.: The simplest model of adsorption of molecules with different orientations in adlayer on the stepped surface. Appl. Surf. Sci. 256, 5298–5304 (2010b)
Fefelov, V.F., Gorbunov, V.A., Myshlyavtsev, A.V., Myshlyavtseva, M.D.: The simplest model of multisite adsorption of molecules with different orientation in Adlayer. Nanotech Conference and Expo 2010: Nanotech Conference Technical Proceedings, Anaheim, 2 July 649–652 (2010c)
Frenkel, Y.I., Kontorova, T.: On the theory of plastic deformation and doubling. Zh. Eksp. Teor. Fiz. 8, 1340 (1938). In Russian
Gonzalez, E.J., Ramirez-Pastor, A.J., Pereyra, V.D.: Adsorption of dimers molecules on triangular and honeycomb lattices. Langmuir 17, 6974–6980 (2001)
Pieranski, P., Sotta, P., Rohe, D., Imperor-Clerc, M.: Devil’s staircase–type faceting of a cubic lyotropic liquid crystal. Phys. Rev. Lett. 84, 2409–2412 (2000)
Selke, W., Fisher, M.E.: Monte Carlo study of the spatially modulated phase in an Ising model. Phys. Rev. 20, 257–265 (1979)
Shibata, N., Ishii, C., Ueda, K.: Devil’s staircase in Kondo semimetals at low temperatures. Phys. Rev. 52, 10232–10238 (1995)
Wang, X.Y., Taylor, P.L.: Devil’s staircase, critical thickness, and propagating fingers in antiferroelectric liquid crystals. Phys. Rev. Lett. 76, 640–643 (1996)
Ye, Y., Sun, W., Wang, Y., Shao, X., Xu, X., Cheng, F., Li, J., Wu, K.: A unified model: self-assembly of trimesic acid on gold. J. Phys. Chem. 111, 10138–10141 (2007)
Acknowledgments
This work was financially supported by Federal program “Scientific and Scientific-Pedagogical Personnel of Innovative Russia in 2009–2013 years” and Analytical departmental target program “Development of Scientific Potential of Higher Education (2009–2011)”.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Fefelov, V.F., Gorbunov, V.A., Myshlyavtsev, A.V. et al. Devil’s staircase behavior of a dimer adsorption model. Adsorption 19, 495–499 (2013). https://doi.org/10.1007/s10450-013-9471-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10450-013-9471-1