Perturbed Infinite 3D Simple Cubic Network of Identical Capacitors
J.H. Asada, A.A. Diab b, M.Q. Owaidat c and J.M. Khalifeh d
aDepartment of Physics, College of Arts and Sciences, Palestine Technical University, P.O. Box 7, Tulkarm, Palestine
bDepartment of General Studies, Yanbu Industrial College, P.O. Box 30436, Yanbu Industrial City, Saudi Arabia
cDepartment of Physics, Al-Hussein Bin Talal University, Ma'an 71111, Jordan
dDepartment of Physics, The University of Jordan, Amman 11942, Jordan
Received: March 31, 2014; In final form: July 24, 2014
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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.

DOI: 10.12693/APhysPolA.126.777
PACS numbers: 61.50.Ah, 84.37.+q, 05.50.+q, 04.60.Nc, 63.90.+t, 84.30.Bv, 02.90.+p