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Journal Article

Numerical analysis of the rebellious voter model

Swart Jan M., Vrbenský Karel

: Journal of Statistical Physics vol.140, 5 (2010), p. 873-899

: CEZ:AV0Z10750506

: GA201/09/1931, GA ČR, 1M0572, GA MŠk

: rebellious voter model, parity conservation, exactly solvable model, coexistence, interface tightness, cancellative systems, Markov chain Monte Carlo

: 10.1007/s10955-010-0021-x

: http://library.utia.cas.cz/separaty/2010/SI/swart-numerical analysis of the rebellious voter model.pdf

(eng): 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.

: BA

07.01.2019 - 08:39