結晶成長と平衡ファセット揺らぎの不思議な関係

• 竹内 一将

  東京大学大学院理学系研究科

書誌事項

タイトル別名

• Intriguing similarity between crystal growth and equilibrium facet fluctuations

抄録

  Crystal growth and equilibrium facet shape fluctuations are different problems in nature, but nontrivial similarity between them was recently argued. On the one hand, recent developments on the Kardar-Parisi-Zhang (KPZ) universality class, which describes surface fluctuations during random domain growth (such as crystal growth), unveiled relevance of random matrix theory in the case of one-dimensional interfaces. In particular, it was shown, both theoretically and experimentally, that the distribution of interface height fluctuations is given by that of the largest eigenvalue of certain random matrices. On the other hand, relation to random matrices was also shown to exist in equilibrium crystals, where positions of step trains correspond to eigenvalues of random matrices, and crystal facet edges to their largest eigenvalues. Remarkably, at least in certain cases, fluctuations of growing interfaces and those of equilibrium facet shapes were theoretically shown to exhibit the same random matrix distribution. Here I outline those two developments, emphasizing how they are connected or not, and discuss some perspectives.

収録刊行物

• 日本結晶成長学会誌

  日本結晶成長学会誌 45 (2), n/a-, 2018

  日本結晶成長学会

詳細情報

• CRID: 1390845712979621888
• NII論文ID: 130007430031
• DOI: 10.19009/jjacg.3-45-2-05
• ISSN: 21878366
• ISSN: 03856275
• 本文言語コード: ja
• データソース種別:
  • JaLC
  • CiNii Articles
  • KAKEN
• 抄録ライセンスフラグ: 使用不可