Exact asymptotic expansion for the resistance between the center node and a node on the cobweb network boundary

• Published in: Condensed Matter Physics
• Date: 2014
• Main Authors: Izmailian, N., Kenna, R.
• Format: Article
• Language: English
• Published: Інститут фізики конденсованих систем НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/153505
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Exact asymptotic expansion for the resistance between the center node and a node on the cobweb network boundary / N. Izmailian, R. Kenna // Condensed Matter Physics. — 2014. — Т. 17, № 3. — С. 33008:1-8. — Бібліогр.: 34 назв.— англ.

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...