Abstract:
:Potential formula of an arbitrary resistor network has been an unsolved problem for hundreds of years, which is an interdisciplinary problem that involves many areas of natural science. A new progress has been made in this paper, which discovered the potential formula of a nonregular m × n fan network with two arbitrary boundaries by the Recursion-Transform method with potential parameters (simply call RT-V). The nonregular m × n fan network is a multipurpose network contains several different types of network model such as the interesting snail network and hart network. In the meantime, we discussed the semi-infinite fan network and a series of novel and special conclusions are produced, the effective resistance is educed naturally. The discovery of potential formulae of resistor network provides new theoretical tools and techniques for related scientific research.
journal_name
Sci Repjournal_title
Scientific reportsauthors
Tan Z,Tan ZZ,Chen Jdoi
10.1038/s41598-018-24164-xsubject
Has Abstractpub_date
2018-04-11 00:00:00pages
5798issue
1issn
2045-2322pii
10.1038/s41598-018-24164-xjournal_volume
8pub_type
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