Diffusion on a heptagonal lattice
| dc.creator | Baek, Seung Ki | |
| dc.creator | Yi, Su Do | |
| dc.creator | Kim, Beom Jun | |
| dc.date | 2008-07-14 | |
| dc.date.accessioned | 2026-07-07T09:50:06Z | |
| dc.date.available | 2026-07-07T09:50:06Z | |
| dc.description | We study the diffusion phenomena on the negatively curved surface made up of congruent heptagons. Unlike the usual two-dimensional plane, this structure makes the boundary increase exponentially with the distance from the center, and hence the displacement of a classical random walker increases linearly in time. The diffusion of a quantum particle put on the heptagonal lattice is also studied in the framework of the tight-binding model Hamiltonian, and we again find the linear diffusion like the classical random walk. A comparison with diffusion on complex networks is also made. | |
| dc.description | 5 pages, 6 figures | |
| dc.identifier | https://arxiv.org/abs/0807.2089 | |
| dc.identifier | http://arxiv.org/abs/0807.2089 | |
| dc.identifier | Physical Review E 77, 022104 (2008) | |
| dc.identifier | doi:10.1103/PhysRevE.77.022104 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/164832 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Diffusion on a heptagonal lattice | |
| dc.type | text |