Advertisement

Interfacial transport with mobile surface charges and consequences for ionic transport in carbon nanotubes

  • Timothée Mouterde
  • Lydéric BocquetEmail author
Regular Article
  • 75 Downloads

Abstract.

In this paper, we explore the effect of a finite surface charge mobility on the interfacial transport: conductance, streaming currents, electro- and diffusio-osmotic flows. We first show that the surface charge mobility modifies the hydrodynamic boundary condition for the fluid, which introduces a supplementary term depending on the applied electric field. In particular, the resulting slip length is found to decrease inversely with the surface charge. We then derive expressions for the various transport mobilities, highlighting that the surface charge mobility merely moderates the amplification effect of interfacial slippage, to the noticeable exception of diffusio-osmosis and surface conductance. Our calculations, obtained within Poisson-Boltzmann framework, highlight the importance of non-linear electrostatic contributions to predict the small concentration/large charge limiting regimes for the transport mobilities. We discuss these predictions in the context of recent electrokinetic experiments with carbon nanotubes.

Graphical abstract

Keywords

Flowing Matter: Interfacial phenomena 

References

  1. 1.
    R.J. Hunter, Foundations of Colloid Science (Oxford University Press, New York, 1991)Google Scholar
  2. 2.
    L. Bocquet, E. Charlaix, Chem. Soc. Rev. 39, 1073 (2010)CrossRefGoogle Scholar
  3. 3.
    A. Siria, M.L. Bocquet, L. Bocquet, Nat. Rev. Chem. 1, 0091 (2017)CrossRefGoogle Scholar
  4. 4.
    L. Joly, C. Ybert, E. Trizac, L. Bocquet, Phys. Rev. Lett. 93, 257805 (2004)ADSCrossRefGoogle Scholar
  5. 5.
    L. Joly, C. Ybert, E. Trizac, L. Bocquet, J. Chem. Phys. 125, 204716 (2006)ADSCrossRefGoogle Scholar
  6. 6.
    S. Balme, F. Picaud, M. Manghi, J. Palmeri, M. Bechelany, S. Cabello-Aguilar, A. Abou-Chaaya, P. Miele, E. Balanzat, J.M. Janot, Sci. Rep. 5, 10135 (2015)ADSCrossRefGoogle Scholar
  7. 7.
    D. Rankin, D.M. Huang, Langmuir 32, 3420 (2016)CrossRefGoogle Scholar
  8. 8.
    D.M. Huang, C. Cottin-Bizonne, C. Ybert, L. Bocquet, Langmuir 24, 1442 (2008)CrossRefGoogle Scholar
  9. 9.
    D.J. Bonthuis, R.R. Netz, Langmuir 28, 16049 (2012)CrossRefGoogle Scholar
  10. 10.
    D.J. Bonthuis, Y. Uematsu, R.R. Netz, Philos. Trans. R. Soc. A 374, 20150033 (2016)ADSCrossRefGoogle Scholar
  11. 11.
    E. Secchi, A. Niguès, L. Jubin, A. Siria, L. Bocquet, Phys. Rev. Lett. 116, 154501 (2016)ADSCrossRefGoogle Scholar
  12. 12.
    P.M. Biesheuvel, M.Z. Bazant, Phys. Rev. E 94, 050601 (2016)ADSCrossRefGoogle Scholar
  13. 13.
    Y. Uematsu, R.R. Netz, L. Bocquet, D. Bonthuis, J. Phys. Chem. B 122, 2992 (2018)CrossRefGoogle Scholar
  14. 14.
    B.L. Werkhoven, J.C. Everts, S. Samin, R. van Roij, Phys. Rev. Lett. 120, 264502 (2018)ADSCrossRefGoogle Scholar
  15. 15.
    C. Fleck, R.R. Netz, H.H. von Grünberg, Biophys. J. 82, 76 (2002)CrossRefGoogle Scholar
  16. 16.
    Y. Avni, D. Andelmann, R. Podgornik, Curr. Opin. Electrochem. 13, 70 (2018)CrossRefGoogle Scholar
  17. 17.
    L. Joly, F. Detcheverry, A.-L. Biance, Phys. Rev. Lett. 113, 088301 (2014)ADSCrossRefGoogle Scholar
  18. 18.
    J. Lyklema, Colloids Surf. A 92, 42 (1994)CrossRefGoogle Scholar
  19. 19.
    E. Secchi, S. Marbach, A. Niguès, D. Stein, A. Siria, L. Bocquet, Nature 537, 210 (2016)ADSCrossRefGoogle Scholar
  20. 20.
    B. Grosjean, M.-L. Bocquet, R. Vuilleumier, submitted to Nat. Commun. (2018)Google Scholar
  21. 21.
    T. Mouterde, to be published in Nature (2018)Google Scholar
  22. 22.
    D. Andelman, Handbook of Biological Physics, Vol. 1 (North-Holland, 1995) pp. 603--642. Google Scholar
  23. 23.
    S. Levine, J.R. Marriott, K. Robinson, J. Chem. Soc., Faraday Trans. 2, 711 (1975)Google Scholar
  24. 24.
    J.J. Bikerman, Z. Phys. Chem. A 163, 378 (1933)Google Scholar
  25. 25.
    D.C. Prieve, J.L. Anderson, J.P. Ebel, M.E. Lowell, J. Fluid Mech. 148, 247 (1984)ADSCrossRefGoogle Scholar
  26. 26.
    J.C. Fair, J.F. Osterle, J. Chem. Phys. 54, 3307 (1971)ADSCrossRefGoogle Scholar
  27. 27.
    A. Siria, P. Poncharal, A.-L. Biance, R. Fulcrand, X. Blase, S. Purcell, L. Bocquet, Nature 494, 455 (2013)ADSCrossRefGoogle Scholar
  28. 28.
    D.C. Grahame, Chem. Rev. 3, 441 (1947)CrossRefGoogle Scholar
  29. 29.
    M. Manghi, J. Palmeri, Y. Khadija, F. Henn, V. Jourdain, Phys. Rev. E 98, 012605 (2018)ADSCrossRefGoogle Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Laboratoire de Physique Statistique, UMR CNRS 8550, Ecole Normale SupérieurePSL Research UniversityParisFrance

Personalised recommendations