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Electric-field-induced polarization and interactions of uncharged colloids in salt solutions

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Abstract.

The electric-field-induced charge distribution and potential around a colloidal sphere and rod in salt solutions are analyzed. The resulting field-induced colloid-colloid interactions are calculated for specific orientations. The colloids are assumed to be uncharged (or very weakly charged), such that the deflection of ion fluxes by the cores of the colloids is the dominant polarization mechanism (which is referred to as volume-polarization). Explicit expressions are derived for the frequency-dependent charge distribution and the potential in case of a symmetric electrolyte. It is shown that colloid-colloid interactions due to the induced charge distributions can be much larger than the thermal energy, and are therefore sufficiently strong to give rise to electric-field-induced phase transitions. The present study is a first step towards a quantitative description of field-induced transitions for systems where volume-polarization is the dominant polarization mechanism.

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References

  1. H. Kramer, C. Graf, M. Hagenbüchle, C. Johner, C. Martin, P. Schwind, R. Weber, J. Phys. II 4, 1061 (1994)

    Article  Google Scholar 

  2. K. Kang, J.K.G. Dhont, EPL 84, 14005 (2008)

    Article  ADS  Google Scholar 

  3. K. Kang, J.K.G. Dhont, Soft Matter 6, 273 (2010)

    Article  Google Scholar 

  4. F. Mantegazza, M. Caggioni, M.L. Jiménez, T. Bellini, Nature Phys. 1, 103 (2005)

    Article  ADS  Google Scholar 

  5. J.P. Singh, P.P. Lele, F. Nettesheim, N.J. Wagner, E.M. Furst, Phys. Rev. E 79, 050401 (2009)

    Article  ADS  Google Scholar 

  6. O. Shramko, V. Shilov, T. Simonova Colloids Surf. A: Physicochem. Eng. Aspects 1403851998

    Article  ADS  Google Scholar 

  7. J.Th.G. Overbeek, J. Chem. Soc., Faraday Trans. 84, 3079 (1988)

    Article  Google Scholar 

  8. J.Th.G. Overbeek, Mol. Phys. 80, 685 (1993)

    Article  ADS  Google Scholar 

  9. V.N. Shilov, S.S. Dukhin, Colloid J. 32, 245 (1970)

    Google Scholar 

  10. R.W. O’Brien, L.R. White, J. Chem. Soc., Faraday Trans. 2 74, 1607 (1978)

    Article  Google Scholar 

  11. E.H.B. Delacey, L.R. White, J. Chem. Soc., Faraday Trans. 2 77, 2007 (1981)

    Article  Google Scholar 

  12. R.W. O’Brien, J. Colloid Interface Sci. 92, 204 (1983)

    Article  Google Scholar 

  13. C. Grosse, K.R. Foster, J. Phys. Chem. 91, 6415 (1987)

    Article  Google Scholar 

  14. B.P. Cahill, L.J. Heyderman, J. Gobrecht, A. Stemmer, Phys. Rev. E 70, 036305 (2004)

    Article  ADS  Google Scholar 

  15. H. Zhao, H.H. Bau, Langmuir 26, 5412 (2010)

    Article  Google Scholar 

  16. M. Fixman, S. Jagannathan, Macromolecules 16, 685 (1983)

    Article  ADS  Google Scholar 

  17. G.S. Manning, J. Chem. Phys. 90, 5704 (1989)

    Article  ADS  Google Scholar 

  18. V.N. Shilov, A.V. Delgado, F. González-Caballero, J. Horno, J.J. López-Garcia, C. Grosse, J. Colloid Interface Sci. 232, 141 (2000)

    Article  Google Scholar 

  19. M. Mandel, Mol. Phys. 4, 489 (1961)

    Article  ADS  Google Scholar 

  20. F. van der Touw, M. Mandel, Biophys. Chem. 2, 218 (1974)

    Article  Google Scholar 

  21. G.S. Manning, Biophys. Chem. 9, 65 (1978)

    Article  Google Scholar 

  22. G.S. Manning, J. Ray, Langmuir 10, 962 (1994)

    Article  Google Scholar 

  23. G.S. Manning, J. Chem. Phys. 99, 477 (1993)

    Article  ADS  Google Scholar 

  24. U. Mohanty, Y. Zhao, Biopolymers 38, 377 (1996)

    Article  Google Scholar 

  25. M. Fixman, S. Jagannathan, J. Chem. Phys. 75, 4048 (1981)

    Article  ADS  Google Scholar 

  26. D. Saintillan, E. Darve, E.S.G. Shaqfeh, J. Fluid Mech. 563, 223 (2006)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  27. J. Lyklema, M.M. Springer, V.N. Shilov, S.S. Dukhin, J. Electrochem. Chem. 198, 19 (1986)

    Article  Google Scholar 

  28. G.S. Manning, EPL 86, 36001 (2009)

    Article  ADS  Google Scholar 

  29. G.S. Manning, Eur. Phys. J. E 30, 411 (2009)

    Article  Google Scholar 

  30. S. Gavryushov, P. Zielenkiewicz, J. Phys. Chem. B 101, 792 (1997)

    Article  Google Scholar 

  31. J.D. Ferry, J. Chem. Phys. 16, 737 (1948)

    Article  ADS  Google Scholar 

  32. A. Bonincontro, C. Cametti, A. Di Biaso, J. Phys. D: Appl. Phys. 13, 1529 (1980)

    Article  ADS  Google Scholar 

  33. The result for the dipole moment given in ref. Sphere in the formula above their eq. (5) is erroneous. For equal dielectric constants for the medium and particle their expression should reproduce our result in eq. (per21). However, a factor $\sim\,(s\,a)^{-2}\,[3+3\,s\,a+(s\,a)^{2}]$ is missing in their result. This factor originates from the unscreened part of the potential response function, so that it seems that the authors erronously omitted that contribution. This cannot be traced back from their paper, since no explicit expressions for the charge nor for the potential are given

  34. J.-P. Hsu, B.-T. Liu, J. Phys. Chem. B 101, 5147 (1997)

    Article  Google Scholar 

  35. D. Harries, Langmuir 14, 3149 (1998)

    Article  Google Scholar 

  36. D. Chapot, L. Bocquet, E. Trizac, J. Chem. Phys. 120, 3969 (2004)

    Article  ADS  Google Scholar 

  37. J. Choi, H. Dong, S. Haam, S.-Y. Lee, Bull. Korean Chem. Soc. 29, 1131 (2008)

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. Forschungszentrum Jülich, Institute für Festkörper Forschung (IFF), Weiche Materie, D-52425, Jülich, Germany

    J. K. G. Dhont & K. Kang

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  1. J. K. G. Dhont
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  2. K. Kang
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Correspondence to J. K. G. Dhont.

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Dhont, J.K.G., Kang, K. Electric-field-induced polarization and interactions of uncharged colloids in salt solutions. Eur. Phys. J. E 33, 51–68 (2010). https://doi.org/10.1140/epje/i2010-10656-5

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  • DOI: https://doi.org/10.1140/epje/i2010-10656-5

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