Vortex dynamics in a three-state model under cyclic dominance

Citation
G. Szabo et al., Vortex dynamics in a three-state model under cyclic dominance, PHYS REV E, 60(4), 1999, pp. 3776-3780
Citations number
34
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063-651X → ACNP
Volume
60
Issue
4
Year of publication
1999
Part
A
Pages
3776 - 3780
Database
ISI
SICI code
1063-651X(199910)60:4<3776:VDIATM>2.0.ZU;2-0
Abstract
The evolution of domain structure is investigated in a two-dimensional vote r model with three states under cyclic dominance. The study focus on the dy namics of vortices, defined by the points where the three states (domains) meet. We can distinguish vortices and antivortices which walk randomly and annihilate each other. The domain wall motion can create vortex-antivortex pairs at a rate that is increased by the spiral formation due to cyclic dom inance. This mechanism is contrasted with a branching annihilating random w alk (BARW) in a particle-antiparticle system with density-dependent pair cr eation rate. Numerical estimates for the critical indices of the vortex den sity [beta = 0.29(4)] and of its fluctuation [ gamma = 0.34(6)] improve an earlier Monte Carlo study [K. Tainaka and Y. Itoh, Europhys. Lett. 15, 399 (1991)] of the three-state cyclic model in two dimensions. [S1063-651X(99)0 9010-8].