Effect of initial conditions on Glauber dynamics in complex networks
| dc.creator | Uchida, Makoto | |
| dc.creator | Shirayama, Susumu | |
| dc.date | 2007-02-21 | |
| dc.date.accessioned | 2026-07-07T07:47:55Z | |
| dc.date.available | 2026-07-07T07:47:55Z | |
| dc.description | The effect of initial spin configurations on zero-temperature Glauber spin dynamics in complex networks is investigated. In a system in which the initial spins are defined by centrality measures at the vertices of a network, a variety of non-trivial diffusive behaviors arise, particularly in relation to functional relationships between the initial and final fractions of positive spins, some of which exhibit a critical point. Notably, the majority spin in the initial state is not always dominant in the final state, and the phenomena that occur as a result of the dynamics differ according on the initial condition, even for the same network. It is thus concluded that the initial condition of a complex network exerts an influence on spin dynamics that is equally as strong as that exerted by the network structure. | |
| dc.description | 8 pages by two column style, 21 figures. Accepted for publication as a regular article in Physical Review E | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0702482 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0702482 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/124329 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Effect of initial conditions on Glauber dynamics in complex networks | |
| dc.type | text |