Abstract
We consider zero-temperature, stochastic Ising models σ t with nearest-neighbor interactions and an initial spin configuration σ 0 chosen from a symmetric Bernoulli distribution (corresponding physically to a deep quench). Whether σ ∞ exists, i.e., whether each spin flips only finitely many times as t→∞ (for almost every σ 0 and realization of the dynamics), or if not, whether every spin — or only a fraction strictly less than one — flips infinitely often, depends on the nature of the couplings, the dimension, and the lattice type. We review results, examine open questions, and discuss related topics.
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More From: Physica A: Statistical Mechanics and its Applications
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