Skip to main content
SpringerLink
Log in

Development of the theory of a self-consistent field for polyelectrolyte solutions

  • Physical Chemistry of Solutions
  • Published:
Russian Journal of Physical Chemistry A Aims and scope Submit manuscript

Abstract

A new theoretical approach to calculating the thermodynamic and structure functions of polyelectrolyte solutions is proposed, based on the method of Gaussian equivalent representation for calculating the functional integrals. Formulas for the mean-force potential, osmotic pressure, and complete monomer-monomer pair distribution functions are presented. A sodium polystyrene sulfonate solution with NaCl additives is considered as an example.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. M. Doi and S. Edwards, The Theory of Polymer Dynamics (Mir, Moscow, 1998; Clarendon, Oxford, 1986).

    Google Scholar 

  2. A. Yu. Grosberg and A. R. Khokhlov, Statistical Physics of Macromolecules (Nauka, Moscow, 1989; Amer. Inst. Phys., Ithaca, 1994).

    Google Scholar 

  3. G. H. Fredrickson, The Equilibrium Theory of Inhomogeneous Polymers (Clarendon, Oxford, 2006).

    Google Scholar 

  4. S. Ma, Modern Theory of Critical Phenomena (Benjamin, Reading, Mass., 1976; Mir, Moscow, 1980).

    Google Scholar 

  5. M. V. Fedorov, Doctoral Dissertation in Chemistry (IKhR, Ivanovo, 2007).

  6. M. V. Fedorov, G. N. Chuev, Yu. A. Kuznetsov, and E. G. Timoshenko, Phys. Rev. E 70, 051803 (2004).

    Article  CAS  Google Scholar 

  7. G. N. Chuev and M. V. Fedorov, J. Chem. Phys. 131, 074503 (2009).

    Article  Google Scholar 

  8. S. Baeurle, G. Efimov, and E. Nogovitsin, Europhys. Lett. 75, 378 (2006).

    Article  CAS  Google Scholar 

  9. S. A. Baeurle and E. A. Nogovitsin, Polymer 48, 4883 (2007).

    Article  CAS  Google Scholar 

  10. S. A. Baeurle, M. G. Kiselev, E. S. Makarova, and E. A. Nogovitsin, Polymer 50, 1805 (2009).

    Article  CAS  Google Scholar 

  11. S. A. Baeurle, M. Charlot, and E. A. Nogovitsin, Phys. Rev. E 75, 011804–1 (2007).

    Article  Google Scholar 

  12. E. A. Nogovitsyn, E. S. Gorchakova, and M. G. Kiselev, Zh. Fiz. Khim. 81(11), 1 (2007) [Russ. J. Phys. Chem. A 81, 1799 (2007)].

    Google Scholar 

  13. G. Efimov and E. Nogovitsin, Phys. A (Amsterdam), 234, 506 (1996).

    Google Scholar 

  14. G. V. Efimov and E. A. Nogovitsin, Commun. JINR E17-95-217 (Dubna, 1995).

  15. G. V. Efimov and E. A. Nogovitsyn, Zh. Fiz. Khim. 76, 2062 (2002) [Russ. J. Phys. Chem. A 76, 1877 (2002)].

    CAS  Google Scholar 

  16. R. S. Koene, T. Nicolai, and M. Mandel, Macromolecules, 231 (1983).

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

    Article  CAS  Google Scholar 

  18. C. Holm, J. F. Joanny, and K. Kremer, Adv. Polym. Sci. 166, 67 (2004).

    CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Max Planck Institute for Mathematics in the Sciences, 04103, Leipzig, Germany

    E. A. Nogovitsyn

  2. Ivanovo State University, Ivanovo, 153000, Russia

    E. A. Nogovitsyn

  3. Society, and Man, Dubna International University of Nature, Dubna, 141980, Russia

    Yu. A. Budkov

Authors
  1. E. A. Nogovitsyn
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yu. A. Budkov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to E. A. Nogovitsyn.

Additional information

Original Russian Text © E.A. Nogovitsyn, Yu.A. Budkov, 2011, published in Zhurnal Fizicheskoi Khimii, 2011, Vol. 85, No. 8, pp. 1477–1483.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nogovitsyn, E.A., Budkov, Y.A. Development of the theory of a self-consistent field for polyelectrolyte solutions. Russ. J. Phys. Chem. 85, 1363–1368 (2011). https://doi.org/10.1134/S0036024411080255

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0036024411080255

Keywords

Search

Navigation