PERTURBATION OF AN INFINITE NETWORK OF IDENTICAL CAPACITORS
2007 ◽
Vol 21
(02)
◽
pp. 199-209
◽
Keyword(s):
The capacitance between any two arbitrary lattice sites in an infinite square lattice is studied when one bond is removed (i.e. perturbed). A connection is made between the capacitance and the lattice Green's function of the perturbed network, where they are expressed in terms of those of the perfect network. The asymptotic behavior of the perturbed capacitance is investigated as the separation between the two sites goes to infinity. Finally, numerical results are obtained along different directions and a comparison is made with the perfect capacitances.
SUBSTITUTIONAL SINGLE RESISTOR IN AN INFINITE SQUARE LATTICE APPLICATION TO LATTICE GREEN'S FUNCTION
2010 ◽
Vol 24
(19)
◽
pp. 2057-2068
◽
2001 ◽
Vol 36
(5)
◽
pp. 541-546
◽
2009 ◽
Vol 42
(39)
◽
pp. 395207
◽
Keyword(s):
Keyword(s):
1972 ◽
Vol 47
(2)
◽
pp. 737-738
◽
2013 ◽
Vol 313-314
◽
pp. 324-328
1974 ◽
Vol 15
(6)
◽
pp. 704-707
◽
2007 ◽
Vol 21
(02n03)
◽
pp. 139-154
◽
1991 ◽
Vol 178
(2)
◽
pp. 351-363
◽