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Numerical analysis of the rebellious voter model
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SYSNO ASEP 0346287 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Numerical analysis of the rebellious voter model Tvůrce(i) Swart, Jan M. (UTIA-B) RID, ORCID
Vrbenský, Karel (UTIA-B)Zdroj.dok. Journal of Statistical Physics. - : Springer - ISSN 0022-4715
Roč. 140, č. 5 (2010), s. 873-899Poč.str. 27 s. Jazyk dok. eng - angličtina Země vyd. NL - Nizozemsko Klíč. slova rebellious voter model ; parity conservation ; exactly solvable model ; coexistence ; interface tightness ; cancellative systems ; Markov chain Monte Carlo Vědní obor RIV BA - Obecná matematika CEP GA201/09/1931 GA ČR - Grantová agentura ČR 1M0572 GA MŠMT - Ministerstvo školství, mládeže a tělovýchovy CEZ AV0Z10750506 - UTIA-B (2005-2011) UT WOS 000280816000003 DOI 10.1007/s10955-010-0021-x Anotace 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. Pracoviště Ústav teorie informace a automatizace Kontakt Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Rok sběru 2011
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