TY - JOUR
T1 - Renormalization group approach to multiscale simulation of polycrystalline materials using the phase field crystal model
AU - Goldenfeld, Nigel
AU - Athreya, Badrinarayan P.
AU - Dantzig, Jonathan A.
PY - 2005/8
Y1 - 2005/8
N2 - We propose a computationally efficient approach to multiscale simulation of polycrystalline materials, based on the phase field crystal model. The order parameter describing the density profile at the nanoscale is reconstructed from its slowly varying amplitude and phase, which satisfy rotationally covariant equations derivable from the renormalization group. We validate the approach using the example of two-dimensional grain nucleation and growth.
AB - We propose a computationally efficient approach to multiscale simulation of polycrystalline materials, based on the phase field crystal model. The order parameter describing the density profile at the nanoscale is reconstructed from its slowly varying amplitude and phase, which satisfy rotationally covariant equations derivable from the renormalization group. We validate the approach using the example of two-dimensional grain nucleation and growth.
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U2 - 10.1103/PhysRevE.72.020601
DO - 10.1103/PhysRevE.72.020601
M3 - Article
C2 - 16196536
AN - SCOPUS:27344443572
SN - 1539-3755
VL - 72
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 2
M1 - 020601
ER -