Abstract
AbstractAn exact derivation of the conductance of parallel double‐layers as a one‐dimensional model of polyelectrolyte solutions is presented. The conductance tends to a finite limit, inversely proportional to the square of the (one‐dimensional) polyelectrolyte concentration, as the polyelectrolyte charge density increases indefinitely. In other words, the conductance tends to zero with the square of the inverse polyelectrolyte concentration in a way independent of the polyelectrolyte charge density. Approaching these limits, the ionic mobility of the counterions predominates over that of the fixed charges. The assumption of superposition of the external and internal electrostatic fields is shown to be inexact even at the limit of very small external fields.
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