Scaling in Small-World Resistor Networks

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dc.creatorKorniss, G.
dc.creatorHastings, M. B.
dc.creatorBassler, K. E.
dc.creatorBerryman, M. J.
dc.creatorKozma, B.
dc.creatorAbbott, D.
dc.date2005-08-01
dc.date.accessioned2026-07-07T06:25:45Z
dc.date.available2026-07-07T06:25:45Z
dc.descriptionWe 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 $α$.
dc.description15 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0508056
dc.identifierhttp://arxiv.org/abs/cond-mat/0508056
dc.identifierPhysics Letters A 350, 324 (2006)
dc.identifierdoi:10.1016/j.physleta.2005.09.081
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96917
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleScaling in Small-World Resistor Networks
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