Article contents
Infinite 2D square network of identical capacitors with two missing bonds
Published online by Cambridge University Press: 13 December 2007
Abstract
The capacitance between any two arbitrary lattice sites of an infinite
square network consisting of identical capacitors is studied analytically
and numerically for a perturbed network. The perturbation is as a result of
removing the bonds $(i_{0} j_{0})$ and $(k_{0} l_{0})$
from the perfect network. The
equivalent capacitance is expressed in terms of the Lattice Green's Function
(LGF) of the perturbed network. Solving Dyson's equation we express the LGF
and the capacitance of the perturbed network in terms of those of the
infinite perfect network. The asymptotic behavior of the perturbed
capacitance is also studied. Finally, some numerical results are presented
for the perturbed infinite square lattice, and a comparison is carried out
for those of the perturbed and perfect infinite square network.
- Type
- Research Article
- Information
- The European Physical Journal - Applied Physics , Volume 40 , Issue 3 , December 2007 , pp. 257 - 264
- Copyright
- © EDP Sciences, 2007
References
- 7
- Cited by