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Fate of 2D Kinetic Ferromagnets and Critical Percolation Crossing Probabilities

Fate of 2D Kinetic Ferromagnets and Critical Percolation Crossing Probabilities

We present evidence for a deep connection between the zero-temperature coarsening of the two-dimensional kinetic Ising model (KIM) and critical continuum percolation. In addition to reaching the ground state, the KIM can also fall into a variety of topologically distinct metastable stripe states. The probability to reach a stripe state …