Anomalous Ising freezing times

Denholm, J and Hourahine, B (2020) Anomalous Ising freezing times. Journal of Statistical Mechanics: Theory and Experiment, 2020. ISSN 1742-5468 (Unpublished)

[img] Text (Denholm-Hourahine-JSMTE-2020-Anomalous-Ising-freezing-times)
Denholm_Hourahine_JSMTE_2020_Anomalous_Ising_freezing_times.pdf
Accepted Author Manuscript
Restricted to Repository staff only until 23 September 2021.

Download (509kB) | Request a copy from the Strathclyde author

    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 ∼ 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.