Screening properties of charge regulated zwitterionic macroion solutions

Kavli Affiliate: Rudolf Podgornik

| First 5 Authors: Rashmi Kandari, Rudolf Podgornik, Sunita Kumari, ,

| Summary:

We generalize a calculation scheme for obtaining the screening length in
electrolytes and zwitterionic macroions subject to charge regulation by the
former. We express the inverse screening parameter in terms of the derivative
of the pressure with respect to the chemical potential by bypassing the
solution of the PB equation. The screening parameter consists of two parts. The
first part is composed of the Debye length evaluated with effective charges of
the ions and the macroions, and the second term corresponds to the macroion
surface dissociation equilibrium that shows an interesting screening resonance
behavior. Furthermore, we discuss the effect of local variables on screening
and show that the CR macroions themselves provide a screening mechanism despite
the low concentration of free ions. Our findings may shed new light on
proteins, protein-membrane, and charged nanoparticles with dissociable surface
groups in their bathing solution.

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