Effect of a static phase transition on searching dynamics
| dc.creator | Hajra, Kamalika Basu | |
| dc.creator | Sen, Parongama | |
| dc.date | 2007-05-04 | |
| dc.date.accessioned | 2026-07-07T07:59:29Z | |
| dc.date.available | 2026-07-07T07:59:29Z | |
| dc.description | We consider a one dimensional Euclidean network which is grown using a preferential attachment. Here the $j$th incoming node gets attached to the $i$th existing node with the probability $Π_i \propto k_i {l}_{ij}^α$, where ${l}_{ij}$ is the Euclidean distance between them and $k_i$ the degree of the $i$th node. This network is known to have a static phase transition point at $α_c \simeq 0.5$. On this network, we employ three different searching strategies based on degrees or distances or both, where the possibility of termination of search chains is allowed. A detailed analysis shows that these strategies are significantly affected by the presence of the static critical point. The distributions of the search path lengths and the success rates are also estimated and compared for the different strategies. These distributions appear to be marginally affected by the static phase transition. | |
| dc.description | 7 pages, 8 figures | |
| dc.identifier | https://arxiv.org/abs/0705.0580 | |
| dc.identifier | http://arxiv.org/abs/0705.0580 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/128387 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Soft Condensed Matter | |
| dc.title | Effect of a static phase transition on searching dynamics | |
| dc.type | text |