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Remarks on the Lattice Green Function for the Anisotropic Face Centered Cubic Lattice

100%
Asad J., Hijjawi R., Hasan E., Diab A., Khalifeh J.
Acta Physica Polonica A
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2016
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vol. 129
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issue 1
52-58
EN
An expression for the Green function of anisotropic face centered cubic lattice is evaluated analytically and numerically for a single impurity problem. The density of states, phase shift and scattering cross-section are expressed in terms of complete elliptic integrals of the first kind.
2
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Perturbed Infinite 3D Simple Cubic Network of Identical Capacitors

86%
Asad J., Diab A., Owaidat M., Khalifeh J.
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vol. 126
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issue 3
777-782
EN
The effective capacitance between the origin and any other lattice site, in an infinite 3D simple cubic network consisting of identical capacitors, is evaluated in terms of the lattice Green function of the network. The perfect case is reviewed shortly, while the perturbed case (a capacitor is removed) is studied in two cases. Numerical values of the effective capacitance are presented and the asymptotic behavior is studied for the both cases.
3
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Infinite Body Centered Cubic Network of Identical Resistors

72%
Asad J., Diab A., Owaidat M., Hijjawi R., Khalifeh J.
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vol. 125
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issue 1
60-64
EN
We express the equivalent resistance between the origin (0,0,0) and any other lattice site (n_1,n_2,n_3) in an infinite body centered cubic network consisting of identical resistors each of resistance R rationally in terms of known values b_{0} and π. The equivalent resistance is then calculated. For large separations two asymptotic formulae for the resistance are presented and some numerical results with analysis are given.
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