“School of Particles”
Back to Papers HomeBack to Papers of School of Particles
| Paper IPM / Particles / 15630 |
|
||||||
| Abstract: | |||||||
|
We report on the universality of height fluctuations at the crossing point of two interacting 1+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 (TW) distribution for plessthan0.5, and to the Gaussian unitary ensemble TW distribution for pgreaterthan0.5. 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.
Download TeX format |
|||||||
| back to top | |||||||
