Quantum and classical diffusion in small-world networks
| dc.creator | Kim, Beom Jun | |
| dc.creator | Hong, H. | |
| dc.creator | Choi, M. Y. | |
| dc.date | 2003-06-10 | |
| dc.date.accessioned | 2026-07-07T02:51:45Z | |
| dc.date.available | 2026-07-07T02:51:45Z | |
| dc.description | We study numerically quantum diffusion of a particle on small-world networks by integrating the time-dependent Schrödinger equation with a localized initial state. The participation ratio, which corresponds to the number of visited sites in the case of classical diffusion, as a function of time is measured and the corresponding diffusion time $τ$ is computed. In a local regular network, i.e., in the network with the rewiring probability $p=0$, the diffusion time depends on the network size $N$ as $τ\sim N$, while the behavior $τ\sim \log N$ is observed as $p$ becomes finite. Such fast diffusion of a particle on a complex network suggests that the small-world transition is also the fast-world transition from a dynamic point of view. The classical diffusion behavior is also studied and compared with the quantum behavior. | |
| dc.description | 5 pages, to appear in PRB | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0306234 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0306234 | |
| dc.identifier | Phys. Rev. B 68, 014304 (2003). | |
| dc.identifier | doi:10.1103/PhysRevB.68.014304 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/21583 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Quantum and classical diffusion in small-world networks | |
| dc.type | text |