Kavli Affiliate: Rudolf Podgornik
| First 5 Authors: Sunita Kumari, Rudolf Podgornik, , ,
| Summary:
We present a derivation of the screening length for a solution containing a
charge regulated macroion, e.g. protein, with its counterions. We show that it
can be obtained directly from the second derivatives of the total free energy
by taking recourse to the “uncertainty relation" of the Legendre transform
which connects the Hessians or the local curvatures of the free energy as a
function of density and its Legendre transform, i.e., osmotic pressure, as a
function of chemical potentials. Based on the Fowler-Guggenheim-Frumkin model
of charge regulation we then analyze the “screening resonance" and the
“overscreening" of the screening properties of the charge-regulated macroion
solution.
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