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Local scale invariance as dynamical space-time symmetry in phase-ordering kinetics
Malte Henkel1, Michel Pleimling
1Laboratoire de Physique des Matériaux, Université Henri Poincaré Nancy I, Boîte Postale 239, F-54506 Vandoeuvre lès Nancy Cedex, France.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 3, 2004
Summary
Simulations of the Ising model reveal that coarsening systems exhibit local scale invariance. This finding suggests a new space-time dynamical symmetry in these systems.
Area of Science:
- Statistical physics
- Complex systems
Background:
- Coarsening systems exhibit dynamic scaling behavior.
- Understanding the spatiotemporal response is crucial for characterizing these systems.
Purpose of the Study:
- To investigate the scaling of the spatiotemporal response in coarsening systems.
- To explore the implications of local scale invariance for dynamical scaling.
Main Methods:
- Simulations of the two-dimensional (2D) and 3D Ising model.
- Utilizing Glauber dynamics for simulating the systems.
Main Results:
- Observed scaling functions are consistent with local scale invariance.
- The results support the extension of dynamical scaling principles.
Conclusions:
- Local scale invariance is a key feature of coarsening systems.
- Dynamical scaling can be extended to a space-time dynamical symmetry.