Skip to main content

Brownian dynamics simulation of monolayer formation by deposition of colloidal particles: A kinetic study at high bulk particle concentration

Abstract

Brownian dynamics simulations (BDS) of sedimentation and irreversible adsorption of colloidal particles on a planar surface were carried out at bulk particle volume fractions (φ) in the range 0.05 to 0.25. The sedimentation and adsorption of colloidal particles were simulated as a non-sequential process that allows simultaneous settling and adsorption of particles. A kinetic model for the formation of particle monolayers based on the available surface fraction (θ A ) is proposed to predict simulation results. The simulations show a value of 0.625 for the maximum fractional surface coverage (θ ) and a monolayer structure insensitive to φ. However, the kinetic order of the monolayer formation process has a strong dependence with φ, changing from a value close to a unit, at low φ, to a value around two at high φ. This change in the kinetic reaction order is associated to differences of particle adsorption mechanism on the surface. At low φ values, the monolayer formation is achieved by independent adsorption of single particles and the reaction order is close to 1. At high φ values, the simultaneous adsorption of two particles on the surface leads to an increase of the reaction order to values close to 2.

This is a preview of subscription content, access via your institution.

References

  1. S. Maenosono, T. Okubo, Y. Yamaguchi, J. Nanopart. Res. 5, 5 (2003).

    Article  Google Scholar 

  2. J. Frelichowska, M.A. Bolzinger, J.P. Valour, H. Mouaziz, J. Pelletier, Y. Chevalier, Int. J. Pharm. 368, 7 (2009).

    Article  Google Scholar 

  3. M.J. Lehtola, T.K. Nissinen, I.T. Miettinen, P.J. Martikainen, T. Vartiainen, Water Res. 38, 601 (2004).

    Article  Google Scholar 

  4. A.N. Shipway, E. Katz, I. Willner, Chem. Phys. Chem. 1, 18 (2000).

    Article  Google Scholar 

  5. Z. Adamczyk, P. Weronski, J. Barbasz, J. Colloid Interface Sci. 317, 1 (2008).

    Article  Google Scholar 

  6. I. Pagonabarraga, J. Bafaluy, J.M. Rubí, Phys. Rev. Lett. 75, 461 (1995).

    ADS  Article  Google Scholar 

  7. L.A. Dorado, R.A. Depine, G. Lozano, H. Míguez, Phys. Rev. B 76, 245103 (2007).

    ADS  Article  Google Scholar 

  8. Z. Adamczyk, M. Nattich, J. Barbasz, Adv. Colloid Interface Sci. 147--148, 2 (2009).

    Article  Google Scholar 

  9. R.V. Magan, R. Sureshkumar, Multiscale Model. Simul. 2, 475 (2004).

    MathSciNet  Article  MATH  Google Scholar 

  10. M. Manciu, E. Ruckenstein, Colloids Surf. A 232, 1 (2004).

    Article  Google Scholar 

  11. B. Widom, J. Chem. Phys. 44, 3888 (1966).

    ADS  Article  Google Scholar 

  12. J.G. Berryman, Phys. Rev. A 27, 1053 (1983).

    ADS  Article  Google Scholar 

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

    Article  Google Scholar 

  14. Z. Adamczyk, B. Siwek, M. Zembala, P. Belouschek, Adv. Colloid Interface Sci. 48, 151 (1994).

    Article  Google Scholar 

  15. P. Schaaf, A. Johner, J. Talbot, Phys. Rev. Lett. 66, 1603 (1991).

    ADS  Article  Google Scholar 

  16. R. Jullien, P. Meakin, J. Phys. A 25, L189 (1992).

    ADS  Article  Google Scholar 

  17. H.S. Choi, J. Talbot, G. Tarjus, P. Viot, J. Chem. Phys. 99, 9296 (1993).

    ADS  Article  Google Scholar 

  18. R.V. Magan, R. Sureshkumar, J. Colloid Interface Sci. 297, 389 (2006).

    Article  Google Scholar 

  19. D.L. Ermak, J.A. McCammon, J. Chem. Phys. 69, 1352 (1978).

    ADS  Article  Google Scholar 

  20. J.P. Hansen, I.R. McDonald, Theory of Simple Liquids, 2nd edition (Academic Press, London, 1986).

  21. I. Pagonabarraga, P. Wojtaszczyk, J.M. Rubi, B. Senger, J.-C. Voegel, P. Schaaf, J. Chem. Phys. 105, 7815 (1996).

    ADS  Article  Google Scholar 

Download references

Author information

Affiliations

Authors

Corresponding author

Correspondence to H. Casanova.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Pérez, C.A., Moncho-Jordá, A., Hidalgo-Álvarez, R. et al. Brownian dynamics simulation of monolayer formation by deposition of colloidal particles: A kinetic study at high bulk particle concentration. Eur. Phys. J. E 35, 69 (2012). https://doi.org/10.1140/epje/i2012-12069-x

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epje/i2012-12069-x

Keywords

  • Soft Matter: Colloids and Nanoparticles