Fixation for coarsening dynamics in 2D slabs

Michael Damron, Hana Kogan, C. M. Newman, Vladas Sidoravicius

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish (US)
Article number105
JournalElectronic Journal of Probability
Volume18
DOIs
StatePublished - Dec 17 2013

Keywords

  • Coarsening
  • Glauber dynamics
  • Ising model

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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