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On electrostatic rigidity of polyelectrolytes: an analogy with quantum electrodynamics

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  • Kholodenko, Arkady L.
  • Borsal, Redouane

Abstract

Using previously discovered similarity between the semiflexible polymers and Dirac fermions (Ann. Phys. 202 (1990) 186) a new treatment of dilute polyelectrolyte solutions is proposed. The electrostatic contribution le to the persistence length as a function of ionic strength I is calculated both perturbatively and nonperturbatively, exploiting the analogy between the polyelectrolyte problems and that studied in quantum electrodynamics. Obtained results are in very good agreement with the available recent experimental data which indicate that le ∝ I−12. They also clarify and complement earlier calculations of Skolnick, Fixman and Odijk.

Suggested Citation

  • Kholodenko, Arkady L. & Borsal, Redouane, 1995. "On electrostatic rigidity of polyelectrolytes: an analogy with quantum electrodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 221(4), pages 389-418.
  • Handle: RePEc:eee:phsmap:v:221:y:1995:i:4:p:389-418
    DOI: 10.1016/0378-4371(95)00187-7
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    1. Shaw, Bill & Zollers, Frances E., 1993. "Managers in the Moral Dimension: What Etzioni Might Mean to Corporate Managers," Business Ethics Quarterly, Cambridge University Press, vol. 3(02), pages 153-168, April.
    2. Kholodenko, A.L. & Beyerlein, A.L., 1988. "Strong coupling solution of the asymmetric electrolyte problem: Field-theoretic approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 154(1), pages 140-156.
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