論文

査読有り
2020年6月

Direct Evidence for Universal Statistics of Stationary Kardar-Parisi-Zhang Interfaces

Physical Review Letters
  • Iwatsuka, Takayasu
  • ,
  • Fukai, Yohsuke T.
  • ,
  • Takeuchi, Kazumasa A.

124
25
開始ページ
250602
終了ページ
250602
記述言語
掲載種別
研究論文(学術雑誌)
DOI
10.1103/PhysRevLett.124.250602
出版者・発行元
{American Physical Society}

The nonequilibrium steady state of the one-dimensional (1D)
Kardar-Parisi-Zhang (KPZ) universality class is studied in-depth by exact
solutions, yet no direct experimental evidence of its characteristic
statistical properties has been reported so far. This is arguably because, for
an infinitely large system, infinitely long time is needed to reach such a
stationary state and also to converge to the predicted universal behavior. Here
we circumvent this problem in the experimental system of growing liquid-crystal
turbulence, by generating an initial condition that possesses a long-range
property expected for the KPZ stationary state. The resulting interface
fluctuations clearly show characteristic properties of the 1D stationary KPZ
interfaces, including the convergence to the Baik-Rains distribution. We also
identify finite-time corrections to the KPZ scaling laws, which turn out to
play a major role in the direct test of the stationary KPZ interfaces. This
paves the way to explore unsolved properties of the stationary KPZ interfaces
experimentally, making possible connections to nonlinear fluctuating
hydrodynamics and quantum spin chains as recent studies unveiled relation to
the stationary KPZ.

リンク情報
DOI
https://doi.org/10.1103/PhysRevLett.124.250602
arXiv
http://arxiv.org/abs/arXiv:2004.11652
Arxiv Url
http://arxiv.org/abs/2004.11652v1
Arxiv Url
http://arxiv.org/pdf/2004.11652v1 本文へのリンクあり

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