Abstract
Slow dynamics in disordered materials prohibits direct simulation of their rich nonequilibrium behavior at large scales. ``Patchwork dynamics'' is introduced to mimic relaxation over a very broad range of time scales by directly equilibrating or optimizing on successive length scales. This dynamics is used to study coarsening and to replicate memory effects for spin glasses and random ferromagnets. It is also used to find, with high confidence, correct ground states in large toroidal samples.
Highlights
Slow dynamics in disordered materials prohibits direct simulation of their rich nonequilibrium behavior at large scales
The experimental systems exhibit a complex cluster of historydependent nonequilibrium effects [1, 2]
Patchwork dynamics proceeds by a succession of coarse-grained equilibrations – or optimizations at zero temperature – and provides a framework for investigating the relation between the evolution of microscopic correlations and the complex nonequilibrium effects observed in experimental spin glasses
Summary
Slow dynamics in disordered materials prohibits direct simulation of their rich nonequilibrium behavior at large scales. This dynamics is used to study coarsening and to replicate memory effects for spin glasses and random ferromagnets.
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