For d ≥ 7, biased Ising and Potts Glauber dynamics on random d-regular graphs quasi-equilibrate in O(log n) time to the plurality phase, and the required initial bias vanishes as d grows.
Kawasaki dynamics beyond the uniqueness threshold
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Rapid phase ordering for Ising and Potts dynamics on random regular graphs
For d ≥ 7, biased Ising and Potts Glauber dynamics on random d-regular graphs quasi-equilibrate in O(log n) time to the plurality phase, and the required initial bias vanishes as d grows.