Journal of Statistical Mechanics: Theory and Experiment
Volume 2007
October 2007
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R Lambiotte and S Redner J. Stat. Mech. (2007) L10001 doi:10.1088/1742-5468/2007/10/L10001
Dynamics of vacillating voters
FREE ARTICLER Lambiotte1,2 and S Redner3
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| Figure 1. Illustration of an update for the vacillating voter on the square lattice (left and middle). For the configuration on the right, the central voter flips with probability 5/6 because out of the six ways of selecting two neighbors, only one choice leads to both neighbors agreeable (dashed). |
Figure 2. Exit probability  versus the density of  voters x for the case N = 16, N = 25 and N = 100. |
Figure 3. Exit probability as a function of the initial density of voters x for a one-dimensional system composed of 25, 36 and 1000 voters respectively. The voter model result,  , that follows from magnetization conservation is shown for comparison. |
Figure 4. Double logarithmic plot of the number of voters versus time on the square lattice starting from a
4 × 4 square of voters in a background of  voters. |
| Figure 5. Exit probability as a function of the initial density of voters x for a square lattice of 16, 25, 36 and 49 voters, respectively, with periodic boundary conditions. |
| Figure 6. Snapshots of the vacillating (left) and pure (right) voter model on a 50 × 50 lattice starting with a random zero-magnetization state after 100 time steps. The correlation function C1 equals 0.31 (left) and 0.59 (right) respectively. |
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Dynamics of vacillating voters
R Lambiotte and S Redner J. Stat. Mech. (2007) L10001
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