Skip to main content
Log in

Draining and concentration effects in dynamic light scattering from nonentangled polymers in solution

  • Biophotonics
  • Published:
Laser Physics

Abstract

In this work, the theory of dynamic light scattering from nonentangled polymers in solution is developed. Based on our previous results for the joint Rouse and Zimm beadspring model of the dynamics of a single polymer and taking into account the influence of other polymer coils on the hydrodynamics of the solution, the dynamic structure factor (DSF) of a chosen test polymer is calculated. The DSF and its first cumulant essentially depend on polymer draining and the concentration of the coils. The tendency of the screening of hydrodynamic interactions is demonstrated on the concentration dependence of the bead mean-square displacement and the DSF. The dynamic nature of this screening is a natural consequence of the theory. The first cumulant of the DSF is studied as a function of the scattering vector k, the draining of the polymers and their concentration, and compared to the Rouse and Zimm limits and the well-known simple laws for the scattering at small and large k.

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. R. G. Larson, J. Rheol. 49, 1 (2005).

    Article  Google Scholar 

  2. L. Harnau, R. Winkler, and P. Reineker, J. Chem. Phys. 104, 6355 (1996).

    Article  ADS  Google Scholar 

  3. B. Dünweg, D. Reith, M. Steinhauser, and K. Kremer, J. Chem. Phys. 117, 914 (2002).

    Article  ADS  Google Scholar 

  4. M. Osa, H. Ueda, T. Yoshizaki, and H. Yamakawa, Polymer J. 38, 153 (2006).

    Article  Google Scholar 

  5. N. Sawatari, T. Yoshizaki, and H. Yamakawa, Macromolecules 31, 4218 (1998).

    Article  Google Scholar 

  6. V. A. Kargin and G. L. Slonimskii, Dokl. Akad. Nauk SSSR 62, 239 (1948).

    Google Scholar 

  7. P. E. Rouse, J. Chem. Phys. 21, 1272 (1953).

    Article  Google Scholar 

  8. B. H. Zimm, J. Chem. Phys. 24, 269 (1956).

    Article  MathSciNet  Google Scholar 

  9. A. Yu. Grosberg and A. R. Khokhlov, Statistical Physics of Macromolecules (Nauka, Moscow, 1989) [in Russian].

    Google Scholar 

  10. M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Clarendon, Oxford, 1986).

    Google Scholar 

  11. S. M. Balabonov, M. A. Ivanova, S. I. Klenin, et al., Biophysics (Moscow) 32, 933 (1987).

    Google Scholar 

  12. J. Tothova, B. Brutovsky, and V. Lisy, Laser Phys. 14, 1511 (2004).

    Google Scholar 

  13. P. Ahlrichs, R. Everaers, and B. Dunweg, Phys. Rev. E 64, 040501 (2001).

    Google Scholar 

  14. R. Shusterman, S. Alon, T. Gavrinyov, and O. Krichevsky, Phys. Rev. Lett. 92, 048303 (2004).

    Google Scholar 

  15. V. Lisy, J. Tothova, and A. Zatovsky, Cond. Mat. Phys. 9, 95 (2006).

    Google Scholar 

  16. J. G. Kirkwood and J. Riseman, J. Chem. Phys. 16, 565 (1948).

    Article  Google Scholar 

  17. V. Lisy, J. Tothova, and A. V. Zatovsky, J. Chem. Phys. 121, 10699 (2004).

    Article  ADS  Google Scholar 

  18. J. Tothova, B. Brutovsky, and V. Lisy, Czech. J. Phys. 55, 221 (2005).

    Article  ADS  Google Scholar 

  19. H. C. Brinkman, Proc. Amsterdam Acad. 50, 6 (1947).

    Google Scholar 

  20. P. Debye and A. M. Bueche, J. Chem. Phys. 16, 573 (1948).

    Article  Google Scholar 

  21. E. Dubois-Violette and P.-G. de Gennes, Physics 3, 181 (1967).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Text © Astro, Ltd., 2007.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tothova, J., Brutovsky, B. & Lisy, V. Draining and concentration effects in dynamic light scattering from nonentangled polymers in solution. Laser Phys. 17, 443–447 (2007). https://doi.org/10.1134/S1054660X07040214

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1054660X07040214

PACS numbers

Navigation