We study zero-temperature Ising Glauber Dynamics, on 2D slabs of thickness k≥2. In this model, ±1-valued spins at integer sites update according to majority vote dynamics with two opinions. We show that all spins reaches a final state (that is, the system fixates) for k=2 under free boundary conditions and for k=2 or 3 under periodic boundary conditions. For thicker slabs there are sites that fixate and sites that do not.
- Glauber dynamics
- Ising model
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty