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  • 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.
  • 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. (en)
Title
  • Numerical analysis of the rebellious voter model
  • Numerical analysis of the rebellious voter model (en)
skos:prefLabel
  • Numerical analysis of the rebellious voter model
  • Numerical analysis of the rebellious voter model (en)
skos:notation
  • RIV/67985556:_____/10:00346287!RIV11-MSM-67985556
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(1M0572), P(GA201/09/1931), Z(AV0Z10750506)
http://linked.open...iv/cisloPeriodika
  • 5
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 275586
http://linked.open...ai/riv/idVysledku
  • RIV/67985556:_____/10:00346287
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • rebellious voter model; parity conservation; exactly solvable model; coexistence; interface tightness; cancellative systems; Markov chain Monte Carlo (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [5CFEEA6B3538]
http://linked.open...i/riv/nazevZdroje
  • Journal of Statistical Physics
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 140
http://linked.open...iv/tvurceVysledku
  • Swart, Jan M.
  • Vrbenský, Karel
http://linked.open...ain/vavai/riv/wos
  • 000280816000003
http://linked.open...n/vavai/riv/zamer
issn
  • 0022-4715
number of pages
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