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

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27 Citations (Scopus)

Abstract

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.

Original languageEnglish (US)
Pages (from-to)649-664
Number of pages16
JournalModelling and Simulation in Materials Science and Engineering
Volume8
Issue number5
DOIs
StatePublished - Sep 2000

Fingerprint

Microstructure
Wavelets
microstructure
matrices
Compound Matrices
Potts model
Grain Growth
Simulation
simulation
Lennard-Jones
Potts Model
Grain growth
Molecular Dynamics
Range of data
unions
Molecular dynamics
Time Scales
Union
Monte Carlo Simulation
Model

ASJC Scopus subject areas

  • Materials Science(all)
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)

Cite this

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abstract = "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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