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https://hdl.handle.net/2440/22818
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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: General Physics, Nonlinear Science, Statistical Physics, Atomic, Molecular and Cluster Physics, Plasma and Fluid Physics, Condensed Matter, Cross-disciplinary Physics, Biological Physics, Nanosciences, Quantum Physics, 2006; 350(5-6):324-330 |
Publisher: | Elsevier Science BV |
Issue Date: | 2006 |
ISSN: | 0375-9601 1873-2429 |
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 |
DOI: | 10.1016/j.physleta.2005.09.081 |
Published version: | http://dx.doi.org/10.1016/j.physleta.2005.09.081 |
Appears in Collections: | Aurora harvest 2 Electrical and Electronic Engineering publications |
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