Coarsening in 2D Slabs

Abstract

We study coarsening; that is, the zero-temperature limit of Glauber dynamics in the standard Ising model on slabs of all thicknesses (with free and periodic boundary conditions in the third coordinate). We show that with free boundary conditions, for \(k\geq 3\), some sites fixate for large times and some do not, whereas for k = 2, all sites fixate. With periodic boundary conditions, for \(k \geq 4\), some sites fixate and others do not, while for k = 2 and 3, all sites fixate.KeywordsPeriodic Boundary ConditionIsing ModelFree Boundary ConditionGlauber DynamicBootstrap PercolationThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.