Skip to main content
Log in

Simulations of stretching a flexible polyelectrolyte with varying charge separation

  • Regular Article
  • Specific Models to Tackle Fundamental Questions
  • Published:
The European Physical Journal Special Topics Aims and scope Submit manuscript

Abstract

We calculated the force-extension curves for a flexible polyelectrolyte chain with varying charge separations by performing Monte Carlo simulations of a 5000 bead chain using a screened Coulomb interaction. At all charge separations, the force-extension curves exhibit a Pincus-like scaling regime at intermediate forces and a logarithmic regime at large forces. As the charge separation increases, the Pincus regime shifts to a larger range of forces and the logarithmic regime starts are larger forces. We also found that force-extension curve for the corresponding neutral chain has a logarithmic regime. Decreasing the diameter of bead in the neutral chain simulations removed the logarithmic regime, and the force-extension curve tends to the freely jointed chain limit. This result shows that only excluded volume is required for the high force logarithmic regime to occur.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. P. de Gennes, Scaling Concepts in Polymer Physics (Cornell University, Ithaca, NY, 1979)

  2. M. Doi, S.F. Edwards, The Theory of Polymer Dynamics (Oxford University, Oxford, NY, 1986)

  3. R.R. Netz, D. Andelman, Phys. Rep. 380, 1 (2003)

    Article  ADS  Google Scholar 

  4. C. Holm, J. Joanny, K. Kremer, R.R. Netz, P. Reineker, C. Seidel, T.A. Vilgis, R.G. Winkler, Adv. Polym. Sci. 166, 67 (2004)

    Article  Google Scholar 

  5. A.V. Dobrynin, M. Rubinstein, Prog. Polym. Sci. 30, 1049 (2005)

    Article  Google Scholar 

  6. Q. Liao, A.V. Dobrynin, M. Rubinstein, Macromolecules 36, 3386 (2003)

    Article  ADS  Google Scholar 

  7. J.Y. Carrillo, A. Dobrynin, Macromolecules 43, 2589 (2010)

    Article  ADS  Google Scholar 

  8. J.M. Carrillo, A. Dobrynin, Macromolecules 44, 5798 (2011)

    Article  Google Scholar 

  9. O.A. Saleh, D.B. McIntosh, P. Pincus, N. Ribeck, Phys. Rev. Lett. 102, 068301 (2009)

    Article  ADS  Google Scholar 

  10. D.B. McIntosh, N. Ribeck, O.A. Saleh, Phys. Rev. E 80, 041803 (2009)

    Article  ADS  Google Scholar 

  11. D.B. McIntosh, O.A. Saleh, Macromolecules 44, 2328 (2011)

    Article  ADS  Google Scholar 

  12. M.J. Stevens, D.B. McIntosh, O. Saleh, Macromolecules 45, 5757 (2012)

    Article  ADS  Google Scholar 

  13. M.J. Stevens, D.B. McIntosh, O.A. Saleh, Macromolecules 46, 6369 (2013)

    Article  ADS  Google Scholar 

  14. M. Ullner, C.E. Woodward, Macromolecules 35, 1437 (2002)

    Article  ADS  Google Scholar 

  15. T. Nguyen, B.I. Shklovskii, Phys. Rev. E 66, 021801 (2002)

    Article  ADS  Google Scholar 

  16. R. Everaers, A. Milchev, V. Yamakov, Eur. Phys. J. E 8, 3 (2002)

    Article  Google Scholar 

  17. N.M. Toan, D. Thirumalai, J. Chem. Phys. 136, 235103 (2012)

    Article  ADS  Google Scholar 

  18. W. Guth, F. Grun, Kolloid-Z. 101, 248 (1942)

    Article  Google Scholar 

  19. P. Pincus, Macromolecules 9, 386 (1976)

    Article  ADS  Google Scholar 

  20. N. Madras, A.D. Sokal, J. Stat. Phys. 50, 109 (1988)

    Article  ADS  MathSciNet  Google Scholar 

  21. M.J. Stevens, K. Kremer, J. Phys. II (France) 6, 1607 (1996)

    Article  Google Scholar 

  22. G. Morrison, C. Hyeon, N.M. Toan, B.Y. Ha, D. Thirumalai, Macromolecules 40, 7343 (2007)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Stevens, M., Saleh, O. Simulations of stretching a flexible polyelectrolyte with varying charge separation. Eur. Phys. J. Spec. Top. 225, 1683–1692 (2016). https://doi.org/10.1140/epjst/e2016-60113-0

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjst/e2016-60113-0

Navigation