Nonlinear screening of charged macromolecules

TL;DR

This paper explores the nonlinear screening effects of highly charged macromolecules in electrolytes, highlighting phenomena like charge renormalization and counterion condensation through analytical solutions of the nonlinear Poisson-Boltzmann equation.

Contribution

It provides analytical insights into nonlinear screening phenomena, extending beyond the linear Debye-Huckel approximation for highly charged macromolecules.

Findings

Charge renormalization explained by nonlinear effects

Counterion condensation occurs in highly charged systems

Analytical solutions offer physical insights into nonlinear screening

Abstract

We present several aspects of the screening of charged macromolecules in an electrolyte. After a review of the basic mean field approach, based on the linear Debye-Huckel theory, we consider the case of highly charged macromolecules, where the linear approximation breaks down and the system is described by full nonlinear Poisson-Boltzmann equation. Some analytical results for this nonlinear equation give some interesting insight on physical phenomena like the charge renormalization and the Manning counterion condensation.