Time-dependent electrolyte friction on charged spherical polyions

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Abstract
The time-dependent electrolyte friction on a single-charged spherical polyion is calculated analytically within the Debye-Hückel approximation for the bulk interionic correlations of the supporting electrolyte. Its time integral is the generalization of Schurr’s previous result for the electrolyte friction for arbitrary charges and mobilities of the ions of the supporting ionic solution (with an arbitrary number of species). The relationship between these results and analogous results available in the theory of ionic conductance and in the theory of self-diffusion of interacting polyions is established, and the finite-size effects of the electrolyte ions are calculated.