Does a Single Zealot Affect an Infinite Group of Voters ?
| dc.creator | Mobilia, Mauro | |
| dc.date | 2003-04-30 | |
| dc.date | 2003-07-09 | |
| dc.date.accessioned | 2026-07-07T02:51:04Z | |
| dc.date.available | 2026-07-07T02:51:04Z | |
| dc.description | A method for studying exact properties of a class of {\it inhomogeneous} stochastic many-body systems is developed and presented in the framework of a voter model perturbed by the presence of a ``zealot'', an individual allowed to favour an opinion. We compute exactly the magnetization of this model and find that in one (1d) and two dimensions (2d) it evolves, algebraically ($\sim t^{-1/2}$) in 1d and much slower ($\sim 1/\ln{t}$) in 2d, towards the unanimity state chosen by the zealot. In higher dimensions the stationary magnetization is no longer uniform: the zealot cannot influence all the individuals. Implications to other physical problems are also pointed out. | |
| dc.description | 4 pages, 2-column revtex4 format | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0304670 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0304670 | |
| dc.identifier | Phys. Rev. Lett. 91, 028701 (2003) | |
| dc.identifier | doi:10.1103/PhysRevLett.91.028701 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/21322 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Physics and Society | |
| dc.title | Does a Single Zealot Affect an Infinite Group of Voters ? | |
| dc.type | text |