Domain motion in the voter model with noise
We study the voter model with noise on one-dimensional chains using Monte Carlo simulations and finite-size scaling techniques. We observe that the system evolution toward consensus is deeply affected by the addition of noise, and that the time to reach complete ordering increases with the noise par...
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| Veröffentlicht in: | Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2006-04, Vol.73 (4 Pt 2), p.046120-046120, Article 046120 |
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| container_end_page | 046120 |
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| container_issue | 4 Pt 2 |
| container_start_page | 046120 |
| container_title | Physical review. E, Statistical, nonlinear, and soft matter physics |
| container_volume | 73 |
| creator | Medeiros, Nazareno G F Silva, Ana T C Moreira, F G Brady |
| description | We study the voter model with noise on one-dimensional chains using Monte Carlo simulations and finite-size scaling techniques. We observe that the system evolution toward consensus is deeply affected by the addition of noise, and that the time to reach complete ordering increases with the noise parameter q. In particular, the simulations show that the average domain size scales as xi approximately q(-1/2) whereas the magnetization scales with the number of nodes as m approximately N(-1/2). |
| doi_str_mv | 10.1103/PhysRevE.73.046120 |
| format | Article |
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| ispartof | Physical review. E, Statistical, nonlinear, and soft matter physics, 2006-04, Vol.73 (4 Pt 2), p.046120-046120, Article 046120 |
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| source | American Physical Society Journals |
| title | Domain motion in the voter model with noise |
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