Liquid-state theory of charged colloids
Yan Levin, Marcia C. Barbosa, M. N. Tamashiro
TL;DR
This paper presents a simple liquid-state theory for charged colloids, calculating the free energy and predicting counterion condensation and cluster formation without phase separation, aligning with experimental and simulation results.
Contribution
It introduces a new theoretical framework for charged colloids that explicitly determines cluster size distribution and confirms the absence of liquid-gas phase separation.
Findings
Counterions condense onto polyions forming clusters.
Cluster size distribution is explicitly determined.
No liquid-gas phase separation observed, consistent with experiments.
Abstract
A simple theory of the fluid state of a charged colloidal suspension is proposed. The full free energy of a polyelectrolyte solution is calculated. It is found that the counterions condense onto the polyions forming clusters composed of one polyion and n counterions. The distribution of cluster sizes is determined explicitly. In agreement with the current experimental and Monte Carlo results, no liquid-gas phase separation was encountered.
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