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