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Dynamics-dependent criticality in models with q absorbing states
1Department of Physics, University of Genève, CH 1211 Genève 4, Switzerland.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 21, 2002
Summary
This study explores a nonequilibrium model with multiple absorbing states. Dynamics significantly influence critical behavior, potentially inducing parity-conserving transitions in systems with three absorbing states.
Area of Science:
- Statistical physics
- Complex systems
Background:
- Studying nonequilibrium models with multiple absorbing states is crucial for understanding complex system dynamics.
- The behavior of such models can vary significantly based on their specific rules and interactions.
Purpose of the Study:
- To investigate the critical behavior of a one-dimensional, nonequilibrium Potts-like model with q symmetric absorbing states.
- To analyze how different dynamics affect the model's phase transitions, particularly for q=3.
Main Methods:
- Analysis of a one-dimensional, nonequilibrium Potts-like model.
- Examination of critical behavior across different values of q (number of absorbing states).
- Comparison of model dynamics to understand phase transition induction.
Main Results:
- For q=2, the model conforms to the parity-conserving universality class.
- For q=3, critical behavior is dynamics-dependent.
- A modified dynamics can induce a parity-conserving phase transition in the q=3 case, unlike some other models.
Conclusions:
- The number of absorbing states and model dynamics critically determine the universality class of nonequilibrium phase transitions.
- Connections to branching-annihilating random walk models help explain the observed dynamic-dependent behavior.