Persistence Length of Flexible Polyelectrolyte Chains

Details Persistence Length of Flexible Polyelectrolyte Chains Persistence Length of Flexible Polyelectrolyte Chains

1998-10-22

arxiv.org/abs/cond-mat/9810300v1

Physics

Condensed Matter

Statistical Mechanics

25 pages, Latex, figure available upon request

Scientific paper

10.1063/1.478656

We calculate the dependence of the electrostatic persistence length, l_e, of weakly charged flexible polyelectrolyte chains using a self-consistent variational theory. The variation of l_e with \kappa, the inverse Debye screening length, is controlled by the parameter l_0 l_B/A^2, where l_0 is the bare persistence length, l_B is the Bjerrum length, and A is the mean distance between charges along the chain. Several distinct regimes for the dependence of l_e on \kappa emerge depending on the value of l_0 l_B/A^2. We show that when l_0 l_B /A^2 << 1 we recover the classical result, l_e \propto \kappa^{-2}. For intermediate values of l_0 l_B /A^2, l_e \propto \kappa^{-1}. In this regime one can also get l_e \propto \kappa^{-y} with y < 1 depending on the strength of the Coulomb interaction. Qualitative comparisons between our theory and simulations as well as other theories are presented.

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