Some exact results and the application of the mean spherical approximation to charged hard spheres near a charged hard wall

1978 ◽  
Vol 69 (12) ◽  
pp. 5441-5449 ◽  
Author(s):  
Douglas Henderson ◽  
Lesser Blum
Keyword(s):  
Hard Spheres ◽  
Spherical Approximation ◽  
Mean Spherical Approximation ◽  
Exact Results ◽  
Hard Wall ◽  
The Mean ◽  
Charged Hard Spheres

The application of the generalized mean spherical approximation to the theory of the diffuse double layer

1981 ◽  
Vol 59 (13) ◽  
pp. 1906-1917 ◽  
Author(s):  
Douglas Henderson ◽  
Lesser Blum
Keyword(s):  
Hard Spheres ◽  
Diffuse Layer ◽  
Spherical Approximation ◽  
Mean Spherical Approximation ◽  
Diffuse Double Layer ◽  
Layer Potential ◽  
Poisson Boltzmann ◽  
Hypernetted Chain ◽  
Two Parameters ◽  
Charged Hard Spheres

A system of charged hard spheres near a uniformly charged hard wall is considered. An approximation is established by postulating a closure for the Ornstein–Zernike (OZ) equations for this system. In this paper these OZ equations are solved for a closure in which the direct correlation functions are equal to the wall-ion potentials plus a sum of exponential functions. As a specific application of this solution we use one exponential and adjust two parameters to satisfy an approximate contact value theorem and give the same diffuse layer potential as is obtained using the hypernetted chain (HNC) approximation. Once this fit is made, the density, charge, and potential profiles can be easily calculated. The agreement with the corresponding HNC results is good. Comparison with the simpler Poisson–Boltzmann theory of Gouy and Chapman (GC) shows the GC theory to be better than one would expect. However, appreciable differences between the present results and the GC results for the diffuse layer potential are found.

Structural relaxations in a Simple Model Molten SaltM

1995 ◽  
Vol 407 ◽  
Author(s):  
Matthias Fuchs
Keyword(s):  
Mode Coupling ◽  
Molten Salts ◽  
Hard Spheres ◽  
Equilibrium Structure ◽  
Charge Ordering ◽  
Spherical Approximation ◽  
Mean Spherical Approximation ◽  
Coupling Theory ◽  
Ionic Systems ◽  
Charged Hard Spheres

ABSTRACTThe structural relaxations of a dense, binary mixture of charged hard spheres are studied using the Mode Coupling Theory (MCT). Qualitative differences to non-ionic systems are shown to result from the long-range Coulomb interaction and charge ordering in dense molten salts. The presented non-equilibrium results are determined by the equilibrium structure, which is input using the well studied Mean Spherical Approximation.

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