論文

査読有り
2020年2月

Kardar-Parisi-Zhang Interfaces with Curved Initial Shapes and Variational Formula

Physical Review Letters
  • Yohsuke T. Fukai

124
6
開始ページ
060601
終了ページ
060601
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1103/PhysRevLett.124.060601
出版者・発行元
{American Physical Society}

We study fluctuations of interfaces in the Kardar-Parisi-Zhang (KPZ)
universality class with curved initial conditions. By simulations of a cluster
growth model and experiments of liquid-crystal turbulence, we determine the
universal scaling functions that describe the height distribution and the
spatial correlation of the interfaces growing outward from a ring. The scaling
functions, controlled by a single dimensionless time parameter, show crossover
from the statistical properties of the flat interfaces to those of the circular
interfaces. Moreover, employing the KPZ variational formula to describe the
case of the ring initial condition, we find that the formula, which we
numerically evaluate, reproduces the numerical and experimental results
precisely without adjustable parameters. This demonstrates that precise
numerical evaluation of the variational formula is possible at all, and
underlines the practical importance of the formula, which is able to predict
the one-point distribution of KPZ interfaces for general initial conditions.

リンク情報
DOI
https://doi.org/10.1103/PhysRevLett.124.060601
arXiv
http://arxiv.org/abs/arXiv:1909.11920
Arxiv Url
http://arxiv.org/abs/1909.11920v3
Arxiv Url
http://arxiv.org/pdf/1909.11920v3 本文へのリンクあり