Number of the records: 1
Numerical analysis of the rebellious voter model
- 1.
SYSNO ASEP 0346287 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Numerical analysis of the rebellious voter model Author(s) Swart, Jan M. (UTIA-B) RID, ORCID
Vrbenský, Karel (UTIA-B)Source Title Journal of Statistical Physics. - : Springer - ISSN 0022-4715
Roč. 140, č. 5 (2010), s. 873-899Number of pages 27 s. Language eng - English Country NL - Netherlands Keywords rebellious voter model ; parity conservation ; exactly solvable model ; coexistence ; interface tightness ; cancellative systems ; Markov chain Monte Carlo Subject RIV BA - General Mathematics R&D Projects GA201/09/1931 GA ČR - Czech Science Foundation (CSF) 1M0572 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) CEZ AV0Z10750506 - UTIA-B (2005-2011) UT WOS 000280816000003 DOI 10.1007/s10955-010-0021-x Annotation 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. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2011
Number of the records: 1