Crossover from Growing to Stationary Interfaces in the Kardar-Parisi-Zhang Class

Abstract

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.

5 pages, 3 figures; improved introduction and other minor/stylistic changes (v2)

References in corpus (6)

• Growing interfaces uncover universal fluctuations behind scale invariance
• Exact scaling functions for one-dimensional stationary KPZ growth
• Evidence for geometry-dependent universal fluctuations of the Kardar-Parisi-Zhang interfaces in liquid-crystal turbulence
• Effects of Particle Shape on Growth Dynamics at Edges of Evaporating Colloidal Drops
• Stationary correlations for the 1D KPZ equation
• Slow decorrelations in KPZ growth

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