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Spiral, target, stripe, and disordered waves in active six-state Potts models
1Institute for Solid State Physics, University of Tokyo, Kashiwa, Chiba 277-8581, Japan.
The Journal of Chemical Physics
|July 13, 2026
Summary
This study explores wave propagation in active six-state Potts models, identifying spiral, target, and stripe wave modes. These modes exhibit distinct behaviors and transitions, offering new insights into nonequilibrium systems.
Area of Science:
- Complex Systems
- Statistical Physics
- Nonlinear Dynamics
Background:
- Wave propagation is a key phenomenon in various nonequilibrium systems.
- Understanding wave dynamics in active matter systems is crucial for comprehending emergent behaviors.
Purpose of the Study:
- To investigate the properties and coexistence of different wave modes in active six-state Potts models.
- To analyze the conditions and mechanisms governing the emergence and transitions of spiral (SP), target (TG), and stripe (ST) waves.
Main Methods:
- Utilized Monte Carlo simulations on square and hexagonal lattices.
- Analyzed wave propagation under varying repulsion and attraction conditions at contacts.
- Investigated wave dynamics during coarsening and transitions between different states.
Main Results:
- Identified SP, TG, and ST wave modes, with SP and TG/ST waves forming under different repulsion strengths.
- Observed temporal coexistence of SP, TG, and ST waves in small systems near transition points.
- Discovered distinct forward and backward SP wave modes under specific diagonal repulsion and nonflip attraction conditions, differing from previous assumptions.
Conclusions:
- The study reveals complex wave dynamics in active Potts models, including mode coexistence and distinct wave types.
- SP waves appear as an intermediate stage during coarsening towards ST waves.
- The transition between even and odd state waves is first-order, highlighting nuanced control over wave propagation.
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