Fixation for coarsening dynamics in 2D slabs

Abstract

For the zero temperature limit of Ising Glauber Dynamics on 2D slabs the existence or nonexistence of vertices that do not fixate is determined as a function of slab thickness.

16 pages, 9 figures

References in corpus (2)

• Zero-Temperature Relaxation of Three-Dimensional Ising Ferromagnets
• Coarsening in 2D slabs

Cited by in corpus (2)

• Coarsening dynamics on ${\mathbb{Z}}^d$ with frozen vertices
• Zero-temperature stochastic Ising model on planar quasi-transitive graphs