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

Nikolay Izmailian, Ralph Kenna

Research output: Contribution to journalArticle

3 Citations (Scopus)
21 Downloads (Pure)

Abstract

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×N cobweb network with resistors r and s in the two spatial directions. All coefficients in this expansion are expressed through analytical functions.
Original languageEnglish
Article number33008
JournalCondensed Matter Physics
Volume17
Issue number3
DOIs
Publication statusPublished - 2014

Keywords

  • asymptotic expansion
  • resistor network

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