Scaling in small-world resistor networks
| dc.contributor.author | Korniss, G. | |
| dc.contributor.author | Hastings, M. | |
| dc.contributor.author | Bassler, K. | |
| dc.contributor.author | Berryman, M. | |
| dc.contributor.author | Kozma, B. | |
| dc.contributor.author | Abbott, D. | |
| dc.date.issued | 2006 | |
| dc.description.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. | |
| dc.identifier.citation | Physics Letters, Section A: General, Atomic and Solid State Physics, 2006; 350(5-6):324-330 | |
| dc.identifier.doi | 10.1016/j.physleta.2005.09.081 | |
| dc.identifier.issn | 0375-9601 | |
| dc.identifier.issn | 1873-2429 | |
| dc.identifier.orcid | Abbott, D. [0000-0002-0945-2674] | |
| dc.identifier.uri | http://hdl.handle.net/2440/22818 | |
| dc.language.iso | en | |
| dc.publisher | Elsevier Science BV | |
| dc.relation.grant | http://purl.org/au-research/grants/arc/0427538 | |
| dc.rights | Copyright status unknown | |
| dc.source.uri | https://doi.org/10.1016/j.physleta.2005.09.081 | |
| dc.subject | small-world model | |
| dc.subject | resistor networks | |
| dc.subject | scaling | |
| dc.title | Scaling in small-world resistor networks | |
| dc.type | Journal article | |
| pubs.publication-status | Published |