Low-temperature 2D Ising Glauber dynamics from sufficiently biased random initializations rapidly orders into the plus phase for every temperature above critical.
Low-temperature Ising dynamics with random initializa- tions.Proceedings of the 54th Annual ACM SIGACT Symposium on Theory of Computing, page 1445–1458
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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.