Low-temperature 2D Ising Glauber dynamics from sufficiently biased random initializations rapidly orders into the plus phase for every temperature above critical.
On an invariance principle for phase separation lines.Annales de l’Institut Henri Poincare (B) Probability and Statistics, 41(5):871–885
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Rapid phase ordering of Ising dynamics on $\mathbb Z^2$
Low-temperature 2D Ising Glauber dynamics from sufficiently biased random initializations rapidly orders into the plus phase for every temperature above critical.