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Updated: Jun 21, 2025
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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
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Cycling and spiral-wave modes in an active cyclic Potts model
Hiroshi Noguchi1, Frédéric van Wijland2, Jean-Baptiste Fournier2
1Institute for Solid State Physics, University of Tokyo, Kashiwa, Chiba 277-8581, Japan.
The Journal of Chemical Physics
|July 8, 2024
Summary
We investigated a cycling three-state Potts model, finding it transitions between homogeneous states and spiral waves. The dynamics depend on cycling energy and system size, revealing distinct phase behaviors in nonequilibrium systems.
Area of Science:
- Statistical Physics
- Complex Systems Dynamics
Background:
- Studying nonequilibrium systems is crucial for understanding phenomena beyond thermal equilibrium.
- The cycling three-state Potts model offers a tunable platform to explore transitions between ordered and dynamic phases.
Purpose of the Study:
- To investigate the nonequilibrium dynamics of a cycling three-state Potts model.
- To characterize the phase transitions and emergent behaviors under varying energy conditions.
Main Methods:
- Utilizing computational simulations to model the Potts model dynamics.
- Employing theoretical analysis to understand the observed phenomena.
Main Results:
- At low cycling energy, the system exhibits homogeneous state cycling via nucleation and growth.
- At high cycling energy, spiral wave patterns emerge.
- A discontinuous transition from homogeneous phases to spiral waves occurs in large systems, with coexistence possible in smaller systems.
Conclusions:
- The study elucidates the distinct dynamic phases of the cycling three-state Potts model.
- Continuum theory can reproduce spiral wave behavior, and the transition is driven by nucleation and growth competition.
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