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Modelling of a displacive transformation in two-dimensional system within a single-site approximation of continuous displacement cluster variation method
Authors:Naoya Kiyokane  Tetsuo Mohri
Affiliation:1. Division of Materials Science and Engineering, Graduate School of Engineering , Hokkaido University , Sapporo , 060-8628 , Japan mate.kiyokane@gmail.com;3. Division of Materials Science and Engineering, Graduate School of Engineering , Hokkaido University , Sapporo , 060-8628 , Japan;4. Research Center for Integrative Mathematics , Hokkaido University , Sapporo , 060-0811 , Japan
Abstract:It is attempted to model a displacive phase transformation by Continuous Displacement Cluster Variation Method. The main focus of the present study is placed on distorted to non-distorted phase transformation in the two-dimensional square lattice. The entropy is formulated within the single-site approximation (point approximation), while the pair-wise atomic interaction energies are combined to stabilize a distorted phase at low temperatures. The distorted to non-distorted phase transformation in the present study is of the second order, and the calculated distribution of atoms suggests that the transformation is of the displacive type in the classification.
Keywords:word  cluster variation method  continuous displacement cluster variation method  martensitic transformation  displacive transformation  zirconia
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