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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 ∼ 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.
Original language | English |
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Article number | 093205 |
Number of pages | 13 |
Journal | Journal of Statistical Mechanics: Theory and Experiment |
Volume | 2020 |
DOIs | |
Publication status | Published - 23 Sept 2020 |
Keywords
- cond-mat.stat-mech
- square lattice Ising ferromagnet
- freezing times
- two-stripe states
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Dive into the research topics of 'Anomalous Ising freezing times'. Together they form a unique fingerprint.Projects
- 1 Finished
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Doctoral Training Partnership (DTP 2016-2017 University of Strathclyde) | Denholm, James
Hourahine, B. (Principal Investigator), Henrich, O. (Co-investigator) & Denholm, J. (Research Co-investigator)
EPSRC (Engineering and Physical Sciences Research Council)
1/10/16 → 28/07/20
Project: Research Studentship - Internally Allocated
Datasets
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Data for: "Anomalous Ising freezing times"
Denholm, J. (Creator) & Hourahine, B. (Supervisor), University of Strathclyde, 15 Sept 2020
DOI: 10.15129/f4eb231f-765f-4c18-a4fa-be5bac4566c2
Dataset