Donnan-potential-regulated interaction

DONNAN POTENTIAL-REGULATED INTERACTION BETWEEN POROUS PARTICLES... 

It is interesting to note that i/ oi and 1//02, are, respectively, the unperturbed surface potentials of membranes 1 and 2 (i.e., the surface potentials at /i = 00) and that Eq. (16.9) states that the interaction force is proportional to the product of the unperturbed surface potentials of the interacting membranes. This is generally true for the Donnan potential-regulated interaction between two ion-penetrable membranes in which the distribution of the membrane-fixed charges far inside the membranes is uniform but may be arbitrary in the region near the membrane surfaces (see Eq. (8.28)). 

Comparison is made with the results for the two conventional models for hard plates given by Honig and Mul [11]. We see that the values of the interaction energy calculated on the basis of the Donnan potential regulation model lie between those calculated from the conventional interaction models (i.e., the constant surface potential model and the constant surface charge density model) and are close to the results obtained the linear superposition approximation. 

Ohshima, H. and Kondo, T., Double-layer interaction regulated by the Donnan potential, J. Coll. Interf Sci, 123 (1), 136-1142, 1988. 

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