Perpustakaan Digital ITB

We report on the universality of height fluctuations at the crossing point of two interacting (1 þ 1)- dimensional Kardar-Parisi-Zhang interfaces with curved and flat initial conditions. We introduce a control parameter p as the probability for the initially flat geometry to be chosen and compute the phase diagram as a function of p. We find that the distribution of the fluctuations converges to the Gaussian orthogonal ensemble Tracy-Widom distribution for p < 0.5, and to the Gaussian unitary ensemble Tracy-Widom distribution for p > 0.5. For p ¼ 0.5 where the two geometries are equally weighted, the behavior is governed by an emergent Gaussian statistics in the universality class of Brownian motion. We propose a phenomenological theory to explain our findings and discuss possible applications in nonequilibrium transport and traffic flow.