| Issue |
Eur. Phys. J. Appl. Phys.
Volume 40, Number 3, December 2007
|
|
|---|---|---|
| Page(s) | 257 - 264 | |
| Section | Semiconductors and Related Materials | |
| DOI | https://doi.org/10.1051/epjap:2007160 | |
| Published online | 13 December 2007 | |
https://doi.org/10.1051/epjap:2007160
Infinite 2D square network of identical capacitors with two missing bonds
1
Tabuk University, Teachers' College, Department of
Sciences (Physics), PO Box 1144,
Tabuk, Saudi Arabia
2
Department of Physics, Mutah University, Jordan
3
Department of Physics, Ajman University, UAE
4
Department of Physics, University of Jordan,
11942 Amman, Jordan
Corresponding author: jhasad1@yahoo.com
Received:
22
April
2007
Revised:
17
July
2007
Accepted:
7
September
2007
Published online:
13
December
2007
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 
and 
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.
PACS: 02.70.Bf – Finite-difference methods / 05.50.+q – Lattice theory and statistics / 61.72.-y – Defects and impurities in crystals; microstructure
© EDP Sciences, 2007
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.