Anomalous Ising freezing times

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Article number093205
Number of pages13
JournalJournal of Statistical Mechanics: Theory and Experiment
Volume2020
DOIs
Publication statusPublished - 23 Sep 2020

Keywords

  • cond-mat.stat-mech
  • square lattice Ising ferromagnet
  • freezing times
  • two-stripe states

Cite this