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Simulation study of random sequential adsorption of mixtures on a triangular lattice

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Abstract.

Random sequential adsorption of binary mixtures of extended objects on a two-dimensional triangular lattice is studied numerically by means of Monte Carlo simulations. The depositing objects are formed by self-avoiding random walks on the lattice. We concentrate here on the influence of the symmetry properties of the shapes on the kinetics of the deposition processes in two-component mixtures. Approach to the jamming limit in the case of mixtures is found to be exponential, of the form: θ(t) ∼ θjam - Δθ  exp(- t/σ), and the values of the parameter σ are determined by the order of symmetry of the less symmetric object in the mixture. Depending on the local geometry of the objects making the mixture, jamming coverage of a mixture can be either greater than both single-component jamming coverages or it can be in between these values. Results of the simulations for various fractional concentrations of the objects in the mixture are also presented.

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References

  1. J.W. Evans, Rev. Mod. Phys. 65, 1281 (1993).

    Article  ADS  Google Scholar 

  2. V. Privman, Colloids Surf. A 165, 231 (2000).

    Article  Google Scholar 

  3. A. Cadilhe, N.A.M. Araújo, V. Privman, J. Phys.: Condens. Matter 19, 065124 (2007).

    Article  Google Scholar 

  4. B. Senger, J.C. Voegel, P. Schaaf, Colloids Surf. A 165, 255 (2000).

    Article  Google Scholar 

  5. J. Talbot, G. Tarjus, P.R. Van Tassel, P. Viot, Colloids Surf. A 165, 287 (2000).

    Article  Google Scholar 

  6. J. Feder, J. Theor. Biol. 87, 237 (1980).

    Article  Google Scholar 

  7. R. Swendsen, Phys. Rev. A 24, 504 (1981).

    Article  ADS  MathSciNet  Google Scholar 

  8. Y. Pomeau, J. Phys. A: Math. Gen. 13, L193 (1980).

  9. M.C. Bartelt, V. Privman, J. Chem. Phys. 93, 6820 (1990).

    Article  ADS  Google Scholar 

  10. P. Nielaba, V. Privman, J.S. Wang, J. Phys. A: Math. Gen. 23, L1187 (1990).

  11. Lj. Budinski-Petković, U. Kozmidis-Luburić, Physica A 236, 211 (1997).

    Article  ADS  Google Scholar 

  12. Lj. Budinski-Petković, U. Kozmidis-Luburić, Phys. Rev. E 56, 6904 (1997).

    Article  ADS  Google Scholar 

  13. M.D. Khandkar, A.V. Limaye, S.B. Ogale, Phys. Rev. Lett. 84, 570 (2000).

    Article  ADS  Google Scholar 

  14. J.-S. Wang, R.B. Pandey, Phys. Rev. Lett. 77, 1773 (1996).

    Article  ADS  Google Scholar 

  15. Lj. Budinski-Petković, M. Petković, Z.M. Jakšić, S.B. Vrhovac, Phys. Rev. E 72, 046118 (2005).

    Article  ADS  Google Scholar 

  16. P. Harnarp, D. Sutherland, J. Gold, B. Kasemo, J. Colloid Interface Sci. 241, 26 (2001).

    Article  Google Scholar 

  17. P. Harnarp, D. Sutherland, J. Gold, B. Kasemo, Colloids Surf. A 214, 23 (2003).

    Article  Google Scholar 

  18. P. Meakin, R. Jullien, Phys. Rev. A 46, 2029 (1992).

    Article  ADS  Google Scholar 

  19. B. Bonnier, Y. Leroyer, E. Pommiers, J. Phys. I 2, 379 (1992).

    Article  Google Scholar 

  20. Z. Adamczyk, B. Siwek, M. Zembala, P. Weronsky, J. Colloid Interface Sci. 185, 236 (1997).

    Article  Google Scholar 

  21. N.V. Brilliantov, Y.A. Andrienko, P.L. Krapivsky, J. Kurths, Phys. Rev. Lett. 76, 4058 (1996).

    Article  ADS  Google Scholar 

  22. J. Talbot, P. Schaaf, Phys. Rev. A 40, 422 (1989).

    Article  ADS  Google Scholar 

  23. M.C. Bartelt, V. Privman, Phys. Rev. A 44, R2227 (1991).

  24. G. Tarjus, J. Talbot, Phys. Rev. A 45, 4162 (1992).

    Article  ADS  Google Scholar 

  25. P.L. Krapivsky, J. Stat. Phys. 69, 135 (1992).

    Article  MATH  MathSciNet  Google Scholar 

  26. G. Tarjus, J. Talbot, J. Phys. A 24, L931 (1991).

  27. G.C. Barker, M.J. Grimson, Mol. Phys. 63, 145 (1988).

    Article  ADS  Google Scholar 

  28. I. Jansen, J. Stat. Mech.: Theor. Exp. (2004) P10008.

  29. S.S. Manna, N.M. Švrakić, J. Phys. A: Math. Gen. 24, L571 (1991).

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Authors and Affiliations

  1. Faculty of Engineering, Trg D. Obradovića 6, 21000, Novi Sad, Serbia

    I. Lončarević & Lj. Budinski-Petković

  2. Institute of Physics, P.O. Box 68, Zemun 11080, Belgrade, Serbia

    S. B. Vrhovac

Authors
  1. I. Lončarević
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  2. Lj. Budinski-Petković
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  3. S. B. Vrhovac
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Correspondence to S. B. Vrhovac.

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Lončarević, I., Budinski-Petković, L. & Vrhovac, S.B. Simulation study of random sequential adsorption of mixtures on a triangular lattice. Eur. Phys. J. E 24, 19–26 (2007). https://doi.org/10.1140/epje/i2007-10206-4

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  • DOI: https://doi.org/10.1140/epje/i2007-10206-4

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