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Boundary-induced nonequilibrium phase transition into an absorbing state
1Universität Würzburg, Fakultät für Physik und Astronomie, 97074 Würzburg, Germany.
Physical Review Letters
|June 4, 2008
Summary
We show that a single site
Area of Science:
- Statistical Physics
- Complex Systems
- Dynamical Systems
Background:
- Absorbing phase transitions are critical phenomena where a system loses its activity.
- Understanding the drivers of these transitions is crucial in various fields, including statistical physics and ecology.
- One-dimensional systems offer simplified models to study complex behaviors.
Purpose of the Study:
- To demonstrate that single-site dynamics can induce absorbing phase transitions in a one-dimensional system.
- To investigate the influence of a boundary site's contact process dynamics on system-wide behavior.
- To analyze the universal properties of this induced phase transition.
Main Methods:
- Development of a one-dimensional model of diffusing particles.
- Incorporation of a single boundary site evolving via contact process dynamics.
- Systematic variation of the offspring production rate at the boundary site.
- Analysis using numerical simulations and approximation techniques.
Main Results:
- The model exhibits a clear phase transition from an active phase to an absorbing state.
- The transition is controlled by the offspring production rate of the single boundary site.
- Numerical simulations and analytical methods confirm the universal properties of the transition.
Conclusions:
- Single-site dynamics are sufficient to drive absorbing phase transitions in one-dimensional systems.
- The contact process dynamics at a boundary site can fundamentally alter the system's state.
- This finding provides new insights into the control of complex system behavior through localized dynamics.
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