Random walks on complex networks with inhomogeneous impact
| dc.creator | Eisler, Zoltan | |
| dc.creator | Kertesz, Janos | |
| dc.date | 2005-01-17 | |
| dc.date | 2005-03-01 | |
| dc.date.accessioned | 2026-07-07T03:03:17Z | |
| dc.date.available | 2026-07-07T03:03:17Z | |
| dc.description | In many complex systems, for the activity f(i) of the constituents or nodes i, a power-law relationship was discovered between the standard deviation sigma(i) and the average strength of the activity: sigma(i) ~ <f(i)>^alpha; universal values alpha = 1/2 or 1 were found, however, with exceptions. With the help of an impact variable we introduce a random walk model where the activity is the product of the number of visitors at a node and their impact. If the impact depends strongly on the node connectivity and the properties of the carrying network are broadly distributed (like in a scale free network) we find both analytically and numerically non-universal alpha values. The exponent always crosses over to the universal value of 1 if the external drive dominates. | |
| dc.description | 4 pages, 3 figures, revised text | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0501391 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0501391 | |
| dc.identifier | Phys. Rev. E 71, 057104 (2005) | |
| dc.identifier | doi:10.1103/PhysRevE.71.057104 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/25693 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Other Condensed Matter | |
| dc.title | Random walks on complex networks with inhomogeneous impact | |
| dc.type | text |