Three-state cyclic voter model extended with Potts energy

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Abstract

The cyclically dominated voter model on a square is extended by taking into consideration the variation of Potts energy during the nearest neighbor invasions. We have investigated the effect of surface tension on the self-organizing patterns maintained by the cyclic invasions. A geometrical analysis is also developed to study the three-color patterns. These investigations clearly indicate that in the "voter model" limit the pattern evolution is governed by the loop creation due to the overhanging during the interfacial roughening. Conversely, in the presence of surface tension the evolution is governed by spiral formation whose geometrical parameters depend on the strength of cyclic dominance.

Original languageEnglish
Article number036115
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume65
Issue number3
DOIs
Publication statusPublished - Mar 2002

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Voter Model
Invasion
Surface Tension
interfacial tension
Energy
organizing
Self-organizing
energy
Nearest Neighbor
color

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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