Effective interaction in asymmetric charged binary mixtures: The non-monotonic behaviour with the colloidal charge

  • M. Peláez-Fernández
  • J. Callejas-Fernández
  • A. Moncho-Jordá
Regular Article

Abstract

In this work we study the effective force between charged spherical colloids induced by the presence of smaller charged spheres using Monte Carlo simulations. The analysis is performed for two size ratios, q = Rs/Rb, two screened direct repulsions, \( \kappa\), and two small particle packing fractions, \( \phi_{s}\) . We specially focus on the effect of the charge of the big colloids (Zb), and observe that the repulsion between big particles shows a non-monotonic behaviour: for sufficiently small charge, we find an anomalous regime where the total repulsion weakens by increasing the big colloid charge. For larger charges, the system recovers the usual behaviour and the big-big interaction becomes more repulsive increasing Zb. This effect is linked to the existence of strong attractive depletion interactions caused by the small-big electrostatic repulsion. We have also calculated the effective force using the Ornstein-Zernike equation with the HNC closure. In general, this theory agrees with the simulation results, and is able to capture this non-monotonic behaviour.

Graphical abstract

Keywords

Soft Matter: Colloids and Nanoparticles 

References

  1. 1.
    J. Lyklema, Fund. Interface Colloid Sci. 2, 3208 (1995)Google Scholar
  2. 2.
    E. Allahyarov, H. Löwen, S. Trigger, Phys. Rev. E 57, 5818 (1998)ADSCrossRefGoogle Scholar
  3. 3.
    E. Allahyarov, I. D'Amico, H. Löwen, Phys. Rev. Lett. 81, 1334 (1998)ADSCrossRefGoogle Scholar
  4. 4.
    E. Allahyarov, H. Löwen, Phys. Rev. E 63, 041403 (2001)ADSCrossRefGoogle Scholar
  5. 5.
    A. Cuetos, J.A. Anta, A.M. Puertas, J. Chem. Phys. 133, 154906 (2010)ADSCrossRefGoogle Scholar
  6. 6.
    J. Wu, D. Bratko, J.M. Prausnitz, Proc. Natl. Acad. Sci. U.S.A. 95, 15169 (1998)ADSCrossRefGoogle Scholar
  7. 7.
    K.P. Velikov, C.G. Christora, R.P.A. Dullens, A. van Blaaderen, Science 296, 106 (2002)ADSCrossRefGoogle Scholar
  8. 8.
    A.Y.-G. Fuh, J.G. Chen, S.-Y. Huang, K.-T. Cheng, Appl. Phys. Lett. 96, 051103 (2010)ADSCrossRefGoogle Scholar
  9. 9.
    T.H. Windhom, C.A. Cain, Trans. Biomed. Engin. 148, 3 (1979)Google Scholar
  10. 10.
    M. Dijkstra, R. van Roij, R. Evans, Phys. Rev. E 59, 5744 (1999)ADSCrossRefGoogle Scholar
  11. 11.
    L. Assoud, R. Messina, H. Löwen, J. Chem. Phys. 129, 164511 (2008)ADSCrossRefGoogle Scholar
  12. 12.
    M. Bier, R. van Roij, M. Dijkstra, J. Chem. Phys. 133, 124501 (2010)ADSCrossRefGoogle Scholar
  13. 13.
    A.A. Louis, E. Allahyarov, H. Löwen, R. Roth, Phys. Rev. E 65, 061407 (2002)ADSCrossRefGoogle Scholar
  14. 14.
    H.N.W. Lekkerkerker, A. Stroobants, Physica A 195, 387 (1993)ADSCrossRefGoogle Scholar
  15. 15.
    S. Asakura, F. Oosawa, J. Chem. Phys. 22, 1255 (1954)ADSGoogle Scholar
  16. 16.
    S. Asakura, F. Oosawa, J. Polym. Sci. 33, 183 (1958)ADSCrossRefGoogle Scholar
  17. 17.
    A.P. Gast, C.K. Hall, W.B. Russel, J. Colloid Interface Sci. 109, 161 (1986)CrossRefGoogle Scholar
  18. 18.
    A.P. Gast, C.K. Hall, W.B. Russell, J. Colloid Interface Sci. 96, 251 (1983)CrossRefGoogle Scholar
  19. 19.
    N.J. Lorenz, J. Lin, T. Palberg, Colloids Surf. A: Physicochem. Eng. Aspects 319, 109 (2008)CrossRefGoogle Scholar
  20. 20.
    N.J. Lorenz, H.-J. Schöpe, H. Reiber, T. Palberg, P. Wette, I. Klasseu, D. Holland-Montz, D. Hertach, T. Okubo, J. Phys.: Condens. Matter 21, 464116 (2009)ADSCrossRefGoogle Scholar
  21. 21.
    N.J. Lorenz, T. Palberg, J. Chem. Phys. 133, 104501 (2010)ADSCrossRefGoogle Scholar
  22. 22.
    A. Vrij, Pure. Appl. Chem. 48, 471 (1976)CrossRefGoogle Scholar
  23. 23.
    M. Peláez-Fernández, A. Moncho-Jordá, J. Callejas-Fernández, EPL 90, 46005 (2010)ADSCrossRefGoogle Scholar
  24. 24.
    M. Peláez-Fernández, A. Moncho-Jordá, J. Callejas-Fernández, J. Chem. Phys. 134, 054905 (2011)ADSCrossRefGoogle Scholar
  25. 25.
    S. Buzzaccaro, R. Piazza, J. Colombo, A. Parola, J. Chem. Phys. 132, 124902 (2010)ADSCrossRefGoogle Scholar
  26. 26.
    S. Karanikas, J. Dzubuella, A. Moncho-Jordá, A.A. Louis, J. Chem. Phys. 128, 204704 (2008)ADSCrossRefGoogle Scholar
  27. 27.
    E. Allahyarov, H. Löwen, J.P. Hansen, A.A. Louis, Phys. Rev. E 67, 051494 (2003)ADSGoogle Scholar
  28. 28.
    G. Cinacchi, Y. Martínez-Ratón, L. Mederos, G. Navascués, A. Tani, E. Velasco, J. Chem. Phys. 127, 214501 (2007)ADSCrossRefGoogle Scholar
  29. 29.
    A. Jamnik, J. Chem. Phys. 131, 164111 (2009)ADSCrossRefGoogle Scholar
  30. 30.
    A. Lajovic, M. Tomsic, A. Jamnik, J. Chem. Phys. 130, 104101 (2009)ADSCrossRefGoogle Scholar
  31. 31.
    A. Jamnik, D. Bratko, D.J. Henderson, J. Chem. Phys. 94, 8210 (1991)ADSCrossRefGoogle Scholar
  32. 32.
    J.P. Hansen, I.R. McDonald, Theory of Simple Liquids (Academic, New York, 1976)Google Scholar
  33. 33.
    D. Frenkel, B. Smit, Understanding of Molecular Simulation: From Algorithms to Applications (Academic Press, San Diego, 1996)Google Scholar
  34. 34.
    P. Debye, E. Hückel, Phys. Z. 24, 185 (1923)MATHGoogle Scholar
  35. 35.
    J.Z. Wu, D. Bratko, H.W. Blanch, J.M. Prausnitz, J. Chem. Phys. 111, 7084 (1999)ADSCrossRefGoogle Scholar
  36. 36.
    J.M. Méndez-Alcaraz, B. D'Aguanno, R. Klein, Langmuir 8, 2913 (1992)CrossRefGoogle Scholar
  37. 37.
    R. Castañeda, L.F. Rojas-Ochoa, V. Lobaskin, J.C. Mixteco-Sánchez, Phys. Rev. E 74, 051408 (2006)ADSCrossRefGoogle Scholar
  38. 38.
    R. Krause, B. D'Aguanno, J.M. Méndez-Alcaraz, G. Nägele, R. Klein, R. Weber, J. Phys.: Condens. Matter 3, 4459 (1991)ADSCrossRefGoogle Scholar
  39. 39.
    P. Linse, G. Gunnarsson, B. Jönsson, J. Phys. Chem. 86, 413 (1982)CrossRefGoogle Scholar
  40. 40.
    D. Bratko, D. Jönsson, H. Wennerström, Chem. Phys. Lett. 128, 449 (1986)ADSCrossRefGoogle Scholar
  41. 41.
    E. Allahyarov, H. Löwen, J. Phys.: Condens. Matter 21, 424117 (2009)ADSCrossRefGoogle Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • M. Peláez-Fernández
    • 1
  • J. Callejas-Fernández
    • 1
  • A. Moncho-Jordá
    • 1
  1. 1.Departamento de Física Aplicada, Grupo de Física de Fluidos y BiocoloidesUniversidad de GranadaGranadaSpain

Personalised recommendations