Wavelet methods for analysing and bridging simulations at complementary scales - the compound wavelet matrix and application to microstructure evolution

We introduce a novel wavelet-based compound matrix to bridge models (Lennard-Jones model simulated with molecular dynamics and a lattice Q-states Potts model with a Monte Carlo simulation) that describe grain growth over different ranges of spatial and time scales. The compound wavelet matrix provides full statistical information on the microstructure at the range of scales that is the union of those handled by the two models.

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