Self-consistent approximation for muffin-tin models of random substitutional alloys with environmental disorder

1984 ◽  
Vol 29 (6) ◽  
pp. 3684-3686 ◽  
Author(s):  
Theodore Kaplan ◽  
L. J. Gray
Keyword(s):  
Consistent Approximation ◽  
Self Consistent ◽  
Substitutional Alloys

Spin-Wave Spectrum in the Sinusoidal Superlattice with Amplitude and Phase Inhomogeneities

2014 ◽  
Vol 215 ◽  
pp. 385-388
Author(s):  
Valter A. Ignatchenko ◽  
Denis S. Tsikalov
Keyword(s):  
Spin Wave ◽  
Density Of States ◽  
Wave Spectrum ◽  
The Self ◽  
One Dimensional ◽  
Consistent Approximation ◽  
Self Consistent ◽  
Greens Function ◽  
The One ◽  
Spin Wave Spectrum

Effects of both the phase and the amplitude inhomogeneities of different dimensionalities on the Greens function and on the one-dimensional density of states of spin waves in the sinusoidal superlattice have been studied. Processes of multiple scattering of waves from inhomogeneities have been taken into account in the self-consistent approximation.

scholarly journals Self-consistent approximation to the Kohn-Sham exchange potential

1995 ◽  
Vol 51 (3) ◽  
pp. 1944-1954 ◽  
Author(s):  
Oleg Gritsenko ◽  
Robert van Leeuwen ◽  
Erik van Lenthe ◽  
Evert Jan Baerends
Keyword(s):  
Exchange Potential ◽  
Consistent Approximation ◽  
Self Consistent

The effective ellipsoid: a method for calculating the permittivity of composites with multilayer ellipsoids

2018 ◽  
Vol 25 (5) ◽  
pp. 1031-1038
Author(s):  
Liming Yuan ◽  
Yonggang Xu ◽  
Fei Dai ◽  
Deyuan Zhang
Keyword(s):  
Boundary Condition ◽  
Linear System ◽  
Effective Permittivity ◽  
System Of Equations ◽  
Systems Of Equations ◽  
Linear System Of Equations ◽  
Consistent Approximation ◽  
Self Consistent ◽  
Linear Systems Of Equations ◽  
Good Agreement

AbstractIn order to calculate the effective permittivity of a mixture with multilayer ellipsoids, this paper presents a self-consistent approximation (SCA) on the basis of the Bruggeman’s analytical model. The effective permittivity of a mixture with aligned multilayer ellipsoids is derived directly from the linear system of equations, which are built using the boundary condition of the electric field on the confocal ellipsoidal interface in the ellipsoidal coordinate system. Furthermore, for a mixture with multilayer ellipsoids oriented randomly, an effective ellipsoid is introduced to substitute the original multilayer ellipsoid, and the permittivity of the effective ellipsoid is derived by jointly solving the two linear systems of equations for the situation of the original multilayer ellipsoid and that of the effective ellipsoid, then the effective permittivity of the mixture can be calculated by the existing Maxwell-Garnett formula. After comparisons, it is revealed that there is a good agreement between this SCA method and existing theories.

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