論文

査読有り
2018年4月13日

When fast and slow interfaces grow together: Connection to the half-space problem of the Kardar-Parisi-Zhang class

Physical Review E
  • Yasufumi Ito
  • ,
  • Kazumasa A. Takeuchi

97
4
開始ページ
040103(R)
終了ページ
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1103/PhysRevE.97.040103
出版者・発行元
American Physical Society

We study height fluctuations of interfaces in the (1+1)-dimensional Kardar-Parisi-Zhang (KPZ) class, growing at different speeds in the left half and the right half of space. Carrying out simulations of the discrete polynuclear growth model with two different growth rates, combined with the standard setting for the droplet, flat, and stationary geometries, we find that the fluctuation properties at and near the boundary are described by the KPZ half-space problem developed in the theoretical literature. In particular, in the droplet case, the distribution at the boundary is given by the largest-eigenvalue distribution of random matrices in the Gaussian symplectic ensemble, often called the GSE Tracy-Widom distribution. We also characterize crossover from the full-space statistics to the half-space one, which arises when the difference between the two growth speeds is small.

リンク情報
DOI
https://doi.org/10.1103/PhysRevE.97.040103
ID情報
  • DOI : 10.1103/PhysRevE.97.040103
  • ISSN : 2470-0053
  • ISSN : 2470-0045
  • SCOPUS ID : 85045399033

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