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Universal behavior in an irreversible model with C(3v) symmetry
1Instituto de Física, Universidade de São Paulo, Caixa Postal 63618, 05315-970 São Paulo, SP, Brazil.
Summary
This study examines a two-dimensional cellular automaton with C3v symmetry, revealing its critical behavior and dynamical phase transition. The findings suggest it belongs to the same universality class as the three-state Potts model.
Area of Science:
- Statistical Physics
- Complex Systems
Background:
- Cellular automata are discrete dynamical systems with applications in modeling complex phenomena.
- Understanding critical behavior and phase transitions is crucial for characterizing system dynamics.
Purpose of the Study:
- To analyze the critical behavior of a 2D irreversible cellular automaton.
- To investigate the dynamical phase transition under C3v symmetry.
- To determine critical exponents and universality class.
Main Methods:
- Monte Carlo simulations were employed to study the model.
- Analysis focused on static and short-time critical exponents.
Main Results:
- The cellular automaton exhibits a dynamical phase transition.
- Static and short-time critical exponents were successfully obtained.
- The model was found to be in the same universality class as the three-state Potts model.
Conclusions:
- The C3v-symmetric 2D irreversible cellular automaton displays critical behavior consistent with the three-state Potts model.
- This research contributes to the understanding of universality in complex systems.