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Type: Journal article
Title: Scaling in small-world resistor networks
Author: Korniss, G.
Hastings, M.
Bassler, K.
Berryman, M.
Kozma, B.
Abbott, D.
Citation: Physics Letters A, 2006; 350(5-6):324-330
Publisher: Elsevier Science BV
Issue Date: 2006
ISSN: 0375-9601
Abstract: We study the effective resistance of small-world resistor networks. Utilizing recent analytic results for the propagator of the Edwards–Wilkinson process on small-world networks, we obtain the asymptotic behavior of the disorder-averaged two-point resistance in the large system-size limit. We find that the small-world structure suppresses large network resistances: both the average resistance and its standard deviation approaches a finite value in the large system-size limit for any non-zero density of random links. We also consider a scenario where the link conductance decays as a power of the length of the random links, l−α. In this case we find that the average effective system resistance diverges for any non-zero value of α.
Keywords: small-world model; resistor networks; scaling
RMID: 0020060289
DOI: 10.1016/j.physleta.2005.09.081
Appears in Collections:Electrical and Electronic Engineering publications

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