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Vertex dynamics during domain growth in three-state models
Attila Szolnoki1, György Szabó
1Research Institute for Technical Physics and Materials Science, P. O. Box 49, H-1525 Budapest, Hungary.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 28, 2004
Summary
This study compares three-color patterns in voter and Potts models to understand interface topology. Statistical analysis reveals how elementary processes drive coarsening phenomena in these systems.
Area of Science:
- Statistical Physics
- Complex Systems
Background:
- Understanding interface dynamics is crucial in various physical systems.
- Coarsening phenomena involve the evolution of microstructures over time.
Purpose of the Study:
- To quantitatively compare evolving three-color patterns in different models.
- To explore the role of elementary processes in coarsening phenomena.
Main Methods:
- Comparative analysis of three-state voter, Potts, and extended voter models.
- Statistical analysis of geometrical features of evolving patterns.
Main Results:
- Identified distinct coarsening behaviors across the models.
- Quantified the influence of specific processes on pattern evolution.
Conclusions:
- The study provides insights into topological aspects of interfaces.
- Different models exhibit unique mechanisms governing pattern coarsening.