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Anomalous nonequilibrium Ising-Bloch bifurcation in discrete systems
Gonzalo Izús1, Diego Pazó, Roberto R Deza
1Grupo de Física No Lineal, Fac. de Física, Universidad de Santiago de Compostela, E-15782 Santiago de Compostela, Spain. izus@mdp.edu.ar
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 31, 2005
Summary
Discretization of bistable systems creates unique Ising and Bloch walls, leading to novel spatiotemporal dynamics where Bloch walls move and Ising walls act as defects. Noise restores continuum behavior.
Area of Science:
- Complex systems
- Nonlinear dynamics
- Computational physics
Background:
- Investigating self-organization in discrete bistable systems.
- Understanding phenomena near nonequilibrium Ising-Bloch bifurcations.
Purpose of the Study:
- To analyze the self-organization of 2D activator-inhibitor discrete bistable systems.
- To characterize the anomalous transition induced by discretization.
Main Methods:
- Numerical simulations of discrete bistable systems.
- Analysis of spatial coupling effects on system dynamics.
- Study of noise influence on system behavior.
Main Results:
- Observed an anomalous transition due to discretization, featuring coexisting Ising and Bloch walls.
- Discovered unique spatiotemporal dynamics: Bloch walls induce motion, Ising walls act as oriented defects.
- Demonstrated that external noise can restore continuum limit behavior.
Conclusions:
- Discretization fundamentally alters system dynamics, creating novel defect structures and motion.
- The interplay between Ising and Bloch walls offers new insights into pattern formation.
- External noise plays a critical role in bridging discrete and continuum system behaviors.
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