Department of Physics, The University of Tokyo, 7-3-1 Hongo, Tokyo 113-0033, Japan.
Phys Rev Lett. 2013 May 24;110(21):210604. doi: 10.1103/PhysRevLett.110.210604.
This Letter reports on how the interfaces in the (1+1)-dimensional Kardar-Parisi-Zhang (KPZ) class undergo, in the course of time, a transition from the flat, growing regime to the stationary one. Simulations of the polynuclear growth model and experiments on turbulent liquid crystal reveal universal functions of the KPZ class governing this transition, which connect the distribution and correlation functions for the growing and stationary regimes. This in particular shows how interfaces realized in experiments and simulations actually approach the stationary regime, which is never attained unless a stationary interface is artificially given as an initial condition.
这封信报告了（1+1）-维 Kardar-Parisi-Zhang（KPZ）类中的界面如何随着时间的推移，从平坦的增长阶段过渡到稳定阶段。多核生长模型的模拟和对湍流液晶的实验揭示了控制这种转变的 KPZ 类的普遍函数，这些函数连接了生长和稳定阶段的分布和相关函数。这特别表明了实验和模拟中实现的界面实际上是如何接近稳定阶段的，除非人为地将稳定界面作为初始条件，否则永远无法达到稳定阶段。
