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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 ∼ L^ν , we argue this timescale actually grows as 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.
|Number of pages||13|
|Journal||Journal of Statistical Mechanics: Theory and Experiment|
|Publication status||Published - 23 Sep 2020|
- square lattice Ising ferromagnet
- freezing times
- two-stripe states
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- 1 Finished
1/10/16 → 28/07/20
Project: Research Studentship - Internally Allocated