Analysis and visualization of multiply oriented lattice structures by a two-dimensional continuous wavelet transform

Details Analysis and visualization of multiply oriented lattice structures by a two-dimensional continuous wavelet transform Analysis and visualization of multiply oriented lattice structures by a two-dimensional continuous wavelet transform

Sep 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006phrve..74c1103s&link_type=abstract

Physical Review E, vol. 74, Issue 3, id. 031103

Physics

Condensed Matter

Statistical Mechanics

7

Nonequilibrium And Irreversible Thermodynamics, Image Processing, Order-Disorder Transformations, Statistical Mechanics Of Model Systems, Metastable Phases

Scientific paper

The phase-field-crystal model [K. R. Elder and M. Grant, Phys. Rev. E 70, 051605 (2004)] produces multigrain structures on atomistic length scale but on diffusive time scales. Since individual atoms are resolved but are treated identically it is difficult to distinguish the exact position of grain boundaries and defects within grains. In order to analyze and visualize the whole grains a two-dimensional wavelet transform has been developed, which is capable of extracting grain boundaries and the lattice orientation of a grain relative to a laboratory frame of reference. This transformation makes it possible not only to easily visualize the multigrain structure, but also to perform exact measurements on low- and high-angle boundaries, grain size distributions and boundary-angle distributions, which can then be compared to experimental data. The presented wavelet transform can also be applied to results of other atomistic simulations, e.g., molecular dynamics or granular materials.

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