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Molecular dynamics simulations of end-grafted centipede-like polymers with stiff charged side chains

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Abstract.

We use molecular dynamics simulations to investigate centipede-like polymers with stiff charged side chains, end-grafted to a planar wall. The effect of the grafting density and the Bjerrum length on the conformational behaviour of the brush is examined in detail. In addition, we make a comparison of centipede-like polyelectrolyte (CPE) brushes with neutral centipede-like polymer (NCP) and linear polyelectrolyte (LPE) brushes. At weak electrostatic interaction, the main chains of the CPE chains adopt a strongly stretched conformation, and the monomer density profiles of side chains exhibit a clear oscillatory behaviour. With increasing Bjerrum length, the CPE brush undergoes a collapse transition. Compared to the CPE brushes, the counterion condensation effect is stronger for the LPE brushes, regardless of whether the electrostatic interaction is weak or strong and of whether the grafting density is low or high. Additionally, it is shown that the architecture of the grafted chains makes a weak contribution to the counterion condensation at strong electrostatic interaction. We also find that the electrostatic repulsion between charged side chains can enhance the stiffness of the main chains and thus limit the range of movement of the free-end monomers.

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References

  1. J. Rühe et al., Adv. Polym. Sci. 165, 79 (2004)

    Google Scholar 

  2. M. Ballauff, O. Borisov, Curr. Opin. Colloid Interface Sci. 11, 316 (2006)

    Article  Google Scholar 

  3. F. Zhou, W.T.S. Huck, Phys. Chem. Chem. Phys. 8, 3815 (2006)

    Article  Google Scholar 

  4. M. Ballauff, Prog. Polym. Sci. 32, 1135 (2007)

    Article  Google Scholar 

  5. L. Samokhina, M. Schrinner, M. Ballauff, Langmuir 23, 3615 (2007)

    Article  Google Scholar 

  6. U. Raviv, S. Giasson, N. Kampf, J.-F. Gohy, R. Jerome, J. Klein, Nature 425, 163 (2003)

    Article  ADS  Google Scholar 

  7. F. Zhou, W.M. Shu, M.E. Welland, W.T.S. Huck, J. Am. Chem. Soc. 128, 5326 (2006)

    Article  Google Scholar 

  8. E.B. Zhulina, O.V. Borisov, J. Chem. Phys. 107, 5952 (1997)

    Article  ADS  Google Scholar 

  9. E.B. Zhulina, J.K. Wolterink, O.V. Borisov, Macromolecules 33, 4945 (2000)

    Article  ADS  Google Scholar 

  10. R. Israels, F.A.M. Leermakers, G.J. Fleer, E.B. Zhulina, Macromolecules 27, 3249 (1994)

    Article  ADS  Google Scholar 

  11. O.V. Borisov, F.A.M. Leermakers, G.J. Fleer, E.B. Zhulina, J. Chem. Phys. 114, 7700 (2001)

    Article  ADS  Google Scholar 

  12. E.B. Zhulina, O.V. Borisov, J. van Male, F.A.M. Leermakers, Langmuir 17, 1277 (2001)

    Article  Google Scholar 

  13. A.A. Mercurieva, T.M. Birshtein, E.B. Zhulina, P. Iakovlev, J. van Male, F.A.M. Leermakers, Macromolecules 35, 4739 (2002)

    Article  ADS  Google Scholar 

  14. P. Pincus, Macromolecules 24, 2912 (1991)

    Article  ADS  Google Scholar 

  15. F.S. Csajka, R.R. Netz, C. Seidel, J.F. Joanny, Eur. Phys. J. E 4, 505 (2001)

    Article  Google Scholar 

  16. P.M. Biesheuvel, J. Colloid Interface Sci. 275, 97 (2004)

    Article  Google Scholar 

  17. R. Nap, P. Gong, I. Szleifer, J. Polym. Sci., Part B: Polym. Phys. 44, 2638 (2006)

    Article  ADS  Google Scholar 

  18. P. Gong, J. Genzer, I. Szleifer, Phys. Rev. Lett. 98, 018302 (2007)

    Article  ADS  Google Scholar 

  19. P. Gong, T. Wu, J. Genzer, I. Szleifer, Macromolecules 40, 8765 (2007)

    Article  ADS  Google Scholar 

  20. O.J. Hehmeyer, G. Arya, A.Z. Panagiotopoulos, I. Szleifer, J. Chem. Phys. 126, 244902 (2007)

    Article  ADS  Google Scholar 

  21. O.V. Borisov, E.B. Zhulina, T.M. Birshtein, Macromolecules 27, 4795 (1994)

    Article  ADS  Google Scholar 

  22. T. Wu, P. Gong, I. Szleifer, P. Vlcek, V. Subr, J. Genzer, Macromolecules 40, 8756 (2007)

    Article  ADS  Google Scholar 

  23. R. Barbey, L. Lavanant, D. Paripovic, N. Schuwer, C. Sugnaux, S. Tugulu, H.A. Klok, Chem. Rev. 109, 5437 (2009)

    Article  Google Scholar 

  24. F.S. Csajka, C. Seidel, Macromolecules 33, 2728 (2000)

    Article  ADS  Google Scholar 

  25. C. Seidel, Macromolecules 36, 2536 (2003)

    Article  ADS  Google Scholar 

  26. N.A. Kumar, C. Seidel, Macromolecules 38, 9341 (2005)

    Article  ADS  Google Scholar 

  27. N.A. Kumar, C. Seidel, Phys. Rev. E 76, 020801 (2007)

    Article  ADS  Google Scholar 

  28. H. Fazli, R. Golestanian, P.L. Hansen, M.R. Kolahchi, Europhys. Lett. 73, 429 (2006)

    Article  ADS  Google Scholar 

  29. M. Sirchabesan, S. Giasson, Langmuir 23, 9713 (2007)

    Article  Google Scholar 

  30. Y. Mei, M. Hoffmann, M. Ballauff, A. Jusufi, Phys. Rev. E 77, 031805 (2008)

    Article  ADS  Google Scholar 

  31. Q. Cao, C. Zuo, H. He, L. Li, Macromol. Theory Simul. 18, 441 (2009)

    Article  Google Scholar 

  32. O.J. Hehmeyer, M.J. Stevens, J. Chem. Phys. 122, 134909 (2005)

    Article  ADS  Google Scholar 

  33. J.M.Y. Carrillo, A.V. Dobrynin, Langmuir 25, 13158 (2009)

    Article  Google Scholar 

  34. A. Naji, R.R. Netz, C. Seidel, Eur. Phys. J. E 12, 223 (2003)

    Article  Google Scholar 

  35. H. Ahrens, S. Forster, C.A. Helm, N.A. Kumar, A. Naji, R.R. Netz, C. Seidel, J. Phys. Chem. B 108, 16870 (2004)

    Article  Google Scholar 

  36. G. Romet-Lemonne, J. Daillant, P. Guenoun, J. Yang, J.W. Mays, Phys. Rev. Lett. 93, 148301 (2004)

    Article  ADS  Google Scholar 

  37. A. Wynveen, C.N. Likos, Phys. Rev. E 80, 010801 (2009)

    Article  ADS  Google Scholar 

  38. M. Baratlo, H. Fazli, Eur. Phys. J. E 29, 131 (2009)

    Article  Google Scholar 

  39. X. Gao, W. Feng, S.P. Zhu, H. Sheardown, J.L. Brash, Langmuir 24, 8303 (2008)

    Article  Google Scholar 

  40. S.S. Sheiko, B.S. Sumerlin, K. Matyjaszewski, Prog. Polym. Sci. 33, 759 (2008)

    Article  Google Scholar 

  41. N. Hadjichristidis, M. Pitsikalis, H. Iatrou, S. Pispas, Macromol. Rapid Commun. 24, 979 (2003)

    Article  Google Scholar 

  42. G. Ten Brinke, O. Ikkala, Chem. Rec. 4, 219 (2004)

    Article  Google Scholar 

  43. R.J. Nap, I. Szleifer, Biophys. J. 95, 4570 (2008)

    Article  ADS  Google Scholar 

  44. L. Feuz, F.A.M. Leermakers, M. Textor, O. Borisov, Macromolecules 38, 8891 (2005)

    Article  ADS  Google Scholar 

  45. R. Stepanyan, A. Subbotin, G. ten Brinke, Macromolecules 35, 5640 (2002)

    Article  ADS  Google Scholar 

  46. A. Subbotin, M. Saariaho, O. Ikkala, G. ten Brinke, Macromolecules 33, 3447 (2000)

    Article  ADS  Google Scholar 

  47. G.A. van Ekenstein, E. Polushkin, H. Nijland, O. Ikkala, G. ten Brinke, Macromolecules 36, 3684 (2003)

    Article  ADS  Google Scholar 

  48. K. Fischer, M. Schmidt, Macromol. Rapid Commun. 22, 787 (2001)

    Article  Google Scholar 

  49. C.M. Li, N. Gunari, K. Fischer, A. Janshoff, M. Schmidt, Angew. Chem., Int. Ed. 43, 1101 (2004)

    Article  Google Scholar 

  50. M. Kikuchi, L.T.N. Lien, A. Narumi, Y. Jinbo, Y. Izumi, K. Nagai, S. Kawaguchi, Macromolecules 41, 6564 (2008)

    Article  ADS  Google Scholar 

  51. K. Lienkamp, L. Noe, M.H. Breniaux, I. Lieberwirth, F. Groehn, G. Wegner, Macromolecules 40, 2486 (2007)

    Article  ADS  Google Scholar 

  52. A. Papagiannopoulos, C.M. Fernyhough, T.A. Waigh, A. Radulescu, Macromol. Chem. Phys. 209, 2475 (2008)

    Article  Google Scholar 

  53. T. Pettersson, A. Naderi, R. Makuska, P.M. Claesson, Langmuir 24, 3336 (2008)

    Article  Google Scholar 

  54. Y.Y. Xu, S. Bolisetty, M. Drechsler, B. Fang, J.Y. Yuan, M. Ballauff, A.H.E. Muller, Polymer 49, 3957 (2008)

    Article  Google Scholar 

  55. Y.Y. Xu, S. Bolisetty, M. Drechsler, B. Fang, J.Y. Yuan, L. Harnau, M. Ballauff, A.H.E. Muller, Soft Matter 5, 379 (2009)

    Article  Google Scholar 

  56. L.-T. Yan, Y. Xu, M. Ballauff, A.H.E. Muller, A. Boker, J. Phys. Chem. B 113, 5104 (2009)

    Article  Google Scholar 

  57. L.-T. Yan, X. Zhang, Langmuir 25, 3808 (2009)

    Article  Google Scholar 

  58. K. Kremer, G.S. Grest, J. Chem. Phys. 92, 5057 (1990)

    Article  ADS  Google Scholar 

  59. S.W. Sides, G.S. Grest, M.J.K. Stevens, Macromolecules 35, 566 (2002)

    Article  ADS  Google Scholar 

  60. R.W. Hockney, J.W. Eastwood, Computer Simulation Using Particles (Adam Hilger, Bristol, 1988)

  61. I.C. Yeh, M.L. Berkowitz, J. Chem. Phys. 111, 3155 (1999)

    Article  ADS  Google Scholar 

  62. G.S. Manning, J. Chem. Phys. 51, 924 (1969)

    Article  ADS  Google Scholar 

Download references

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Cao, Q.Q., Zuo, C.C. & Li, L.J. Molecular dynamics simulations of end-grafted centipede-like polymers with stiff charged side chains. Eur. Phys. J. E 32, 1–12 (2010). https://doi.org/10.1140/epje/i2010-10585-3

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  • DOI: https://doi.org/10.1140/epje/i2010-10585-3

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