1 research outputs found
Competing Universalities in Kardar-Parisi-Zhang (KPZ) Growth Models
We report on the universality of height fluctuations at the crossing point of
two interacting (1+1)-dimensional Kardar-Parisi-Zhang (KPZ) 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 (TW) distribution for
p0.5. For
p=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.Comment: 5 pages, 6 figures, Phys. Rev. Lett. (2019) (accepted