Universality of slow decorrelation in KPZ growth

Understand

There has been much success in describing the limiting spatial fluctuations of growth models in the Kardar-Parisi-Zhang (KPZ) universality class.

• A proper rescaling of time should introduce a non-trivial temporal dimension to these limiting fluctuations.
• In one-dimension, the KPZ class has the dynamical scaling exponent $z=3/2$, that means one should find a universal space-time limiting process under the scaling of time as $t\,T$, space like $t^{2/3} X$ and fluctuations like $t^{1/3}$ as $t\to\infty$.
• In this paper we provide evidence for this belief.