scholarly journals Solution of the mean spherical approximation for polydisperse multi-Yukawa hard-sphere fluid mixture using orthogonal polynomial expansions

2006 ◽  
Vol 124 (11) ◽  
pp. 114509 ◽  
Author(s):  
Yurij V. Kalyuzhnyi ◽  
Peter T. Cummings
Keyword(s):  
Orthogonal Polynomial ◽  
Hard Sphere ◽  
Spherical Approximation ◽  
Mean Spherical Approximation ◽  
Fluid Mixture ◽  
Hard Sphere Fluid ◽  
The Mean ◽  
Polynomial Expansions

Solvation force in a hard-sphere fluid

1999 ◽  
Vol 77 (8) ◽  
pp. 585-590 ◽  
Author(s):  
M Moradi ◽  
M Kavosh Tehrani
Keyword(s):  
Correlation Function ◽  
Hard Sphere ◽  
Hard Core ◽  
Spherical Approximation ◽  
Mean Spherical Approximation ◽  
Direct Correlation Function ◽  
Functional Theory ◽  
Hard Sphere Fluid ◽  
Generalized Mean ◽  
Simulation Results

The solvation force in a hard-sphere fluid is obtained by the denisty functional theory proposed by Rickayzen and Augousti. The direct correlation function (DCF) with the tail introduced by Tang and Lu is used. This DCF (hereafter TL DCF ) is postulated to hold the Yukawa form outside the hard core; and the generalized mean spherical approximation (GMSA) approach has been applied. The results are compared with those obtained by using the Percus-Yevick (PY) DCF. These results are also compared with those of Monte Carlo simulations. At low densities and fairly high densities the results are in agreement. But at high densities there is more oscillation in the solvation force obtained by using TL DCF in comparison with the PY DCF. There are no simulation results at high densities to be compared with these results.PACS No. 61.20

scholarly journals Solutions of Sodium in Liquid Ammonia as Described by a Hard Sphere Charge-Dipole Model in the Neutralizing Background

1991 ◽  
Vol 46 (1-2) ◽  
pp. 19-26
Author(s):  
M. F. Golovko ◽  
L A. Protsykevych
Keyword(s):  
Distribution Function ◽  
Hard Sphere ◽  
Liquid Ammonia ◽  
Analytic Solution ◽  
Ion Concentration ◽  
Spherical Approximation ◽  
Mean Spherical Approximation ◽  
Ion Distribution ◽  
Dipole System ◽  
The Mean

AbstractThe analytic solution of the mean spherical approximation obtained by us previously for the ion-dipole system in a neutralizing background is applied to study the structural, thermodynamic and dielectric properties of sodium-ammonia solutions. It is shown that the structure of ammonia is closepacked and changes little with ion concentration. The shape of the ion-ion distribution function changes from solvation behaviour with Debye-like asymptotics at low ion concentration to density ordering in the metalic region.

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