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arXiv · 2001.11774

Anomalous Ising freezing times

James Denholm·Ben Hourahine
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Abstract

We measure the relaxation time of a square lattice Ising ferromagnet that is quenched to zero-temperature from supercritical initial conditions. We reveal an anomalous and seemingly overlooked timescale associated with the relaxation to "frozen" two-stripe states. While close to a power law of the form $\sim L^ν$ , we argue this timescale actually grows as $\sim L^{2}\ln L$, with L the linear dimension of the system. We uncover the mechanism behind this scaling form by using a synthetic initial condition that replicates the late time ordering of two-stripe states, and subsequently explain it heuristically.

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James Denholm, Ben Hourahine. 2020-08-12. Anomalous Ising freezing times. https://doi.org/10.1088/1742-5468%2Fabb0df

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