相変態・転位運動におけるパターン形成の統計熱力学的考察(フォーラム2 マルチスケール塑性論の数理構造)

概要

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Pattern formation process attracts broad attentions in various areas of materials science including phase transition and deformation processes. In the present report, we discuss how the patter formation can be described in the theoretical tools at our hands. Phase Field Method(PFM) is a potential tool applicable to versatile transition processes such as order-disorder transition and crystal growth phenomena. PFM, however, is based on phenomenological description of free energy and it is not applicable to multi-scale phenomena. One needs to incorporate/hybridize atomistic free energy via coarse graining operation. Cluster Variation Method has been known as one of the most reliable theoretical tools to evaluate free energy from the atomistic scale. It is demonstrated how the CVM free energy is hybridized in the PFM. Also, Diffusion-Reaction equation is solved to analyze the pattern formation process due to dislocations motion. The common principle behind these two methods are discussed.
社団法人日本機械学会の論文
2004-11-17