scholarly journals Asymptotic Form of the Lattice Green's Function of the Simple Cubic Lattice

1973 ◽  
Vol 50 (1) ◽  
pp. 82-94 ◽  
Author(s):  
Shigetoshi Katsura ◽  
Sakari Inawashiro
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Asymptotic Form ◽  
Cubic Lattice ◽  
Simple Cubic ◽  
Simple Cubic Lattice ◽  
Lattice Green's Function ◽  
Lattice Green’S Function

Resistance calculation of the decorated centered cubic networks: Applications of the Green's function

2014 ◽  
Vol 28 (32) ◽  
pp. 1450252 ◽  
Author(s):  
M. Q. Owaidat ◽  
J. H. Asad ◽  
J. M. Khalifeh
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Function Method ◽  
Three Dimensional ◽  
Numerical Results ◽  
Effective Resistance ◽  
Cubic Lattice ◽  
Cubic Lattices ◽  
Simple Cubic ◽  
Simple Cubic Lattice

The effective resistance between any pair of vertices (sites) on the three-dimensional decorated centered cubic lattices is determined by using lattice Green's function method. Numerical results are presented for infinite decorated centered cubic networks. A mapping between the resistance of the edge-centered cubic lattice and that of the simple cubic lattice is shown.

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