Condensed Matter Physics, 2014, vol. 17, No. 3, p. 33008:18
DOI:10.5488/CMP.17.33008
Title:
Exact asymptotic expansion for the resistance between the center node and a node on the cobweb network boundary
Author(s):

N. Izmailian
(Yerevan Physics Institute, Alikhanian Brothers 2, 375036 Yerevan, Armenia; Applied Mathematics Research Center, Coventry University, Coventry CV1 5FB, England)
,


R. Kenna
(Applied Mathematics Research Center, Coventry University, Coventry CV1 5FB, England)

We analyze the resistance between two nodes in a cobweb network of resistors. Based on an exact expression, we derive the asymptotic expansions for the resistance between the center node and a node on the boundary of the M x N cobweb network with resistors r and s in the two spatial directions. All coefficients in this expansion are expressed through analytical functions.
Key words:
resistor network, asymptotic expansion
PACS:
05.50.+q, 05.60.Cd, 02.30.Mv
