lattice green's function
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ELECTRICAL NETWORKS WITH INTERSTITIAL SINGLE CAPACITOR

2013 ◽  
Vol 27 (16) ◽  
pp. 1350123 ◽  
Author(s):  
M. Q. OWAIDAT ◽  
R. S. HIJJAWI ◽  
J. H. ASAD ◽  
J. M. KHALIFEH
Keyword(s):  
Asymptotic Behavior ◽  
Explicit Formula ◽  
Green's Function ◽  
Numerical Results ◽  
Function Approach ◽  
Electrical Networks ◽  
Perfect Lattice ◽  
Effective Capacitance ◽  
Equivalent Capacitance ◽  
Lattice Green's Function

We investigate the equivalent capacitance between two arbitrary nodes in a perturbed network (i.e. an interstitial capacitor is introduced between two arbitrary points in the perfect lattice) based on the lattice Green's function approach. An explicit formula for the capacitance of the perturbed lattice is derived in terms of the capacitances of the perfect lattice by solving Dyson's equation exactly. Numerical results are presented for the infinite perturbed square network. Finally, the asymptotic behavior of the effective capacitance has been studied.

Infinite 3D Cubic Lattices of Identical Resistors

2013 ◽  
Vol 313-314 ◽  
pp. 324-328
Author(s):  
J.H. Asad
Keyword(s):  
Asymptotic Behavior ◽  
Green's Function ◽  
Lattice Point ◽  
Numerical Results ◽  
The Other ◽  
Cubic Lattices ◽  
Simple Cubic ◽  
Other Hand ◽  
Lattice Green's Function ◽  
Lattice Green’S Function

We expressed the resistance between the origin and any lattice point in an infinite perfect Simple Cubic (i.e., SC) network rationally in terms of the known value of the Lattice Green's Function at the origin (i.e., ), and . On the other hand, we investigated the asymptotic behavior of the resistance. Finally, some numerical results has been calculated.

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