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>Renormalization group treatment of excluded volume effects in a polyelectrolyte chain in the weak electrostatic coupling limit. II. Decomposition of interactions and calculation of properties
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Renormalization group treatment of excluded volume effects in a polyelectrolyte chain in the weak electrostatic coupling limit. II. Decomposition of interactions and calculation of properties
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机译：Renormalization group treatment of excluded volume effects in a polyelectrolyte chain in the weak electrostatic coupling limit. II. Decomposition of interactions and calculation of properties
A theoretical description of excluded volume in polyelectrolytes is considered in the flexible chain limit. The approach generalizes the work of Kholodenko and Freed and removes some deficiencies, present in their work, which become apparent in further extensions of the theory. Renormalization group calculations are pursued to order egr;=4minus;dfor the mean square endhyphen;tohyphen;end distance lang;R2rang;, the radius of gyration lang;S2rang;, and the second virial coefficientA2. The importance of including both a short range excluded volume interaction as well as a long range electrostatic one is stressed. The electrostatic interaction is effectively treated as a perturbation, so that the results are valid only in the weak electrostatic coupling region. The theory shows that polyelectrolyte excluded volume effects cannot generally be described in a scaling limit, and generalized scaling laws are derived which contain several parameters including the two interaction parameters. A qualitative comparison of the theory with available experimental data is included, and a program for evaluating effective charge distributions on polyelectrolytes is proposed based upon comparison of experiments with extensions of the theory to higher concentrations.
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