Mathematics – Probability
Scientific paper
2009-11-06
J. Stat. Phys. 140(5) (2010) 873-899
Mathematics
Probability
Compared to last version, only minor changes in Figure 10. 26 pages. 20 figures. A black and white version of the manuscript a
Scientific paper
10.1007/s10955-010-0021-x
The rebellious voter model, introduced by Sturm and Swart (2008), is a variation of the standard, one-dimensional voter model, in which types that are locally in the minority have an advantage. It is related, both through duality and through the evolution of its interfaces, to a system of branching annihilating random walks that is believed to belong to the `parity-conservation' universality class. This paper presents numerical data for the rebellious voter model and for a closely related one-sided version of the model. Both models appear to exhibit a phase transition between noncoexistence and coexistence as the advantage for minority types is increased. For the one-sided model (but not for the original, two-sided rebellious voter model), it appears that the critical point is exactly a half and two important functions of the process are given by simple, explicit formulas, a fact for which we have no explanation.
Swart Jan M.
Vrbensky Karel
No associations
LandOfFree
Numerical analysis of the rebellious voter model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Numerical analysis of the rebellious voter model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Numerical analysis of the rebellious voter model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-391326