“School of Particles And Accelerator”

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Paper   IPM / Particles And Accelerator / 15630
School of Particles and Accelerator
  Title:   Competing universalities in Kardar-Parisi-Zhang growth models
1.  Abbas Ali Saberi
2.  Hor Dashti-Naserabadi
3.  Joachim Krug
  Status:   Published
  Journal: Phys. Rev. Lett.
  No.:  040605
  Vol.:  122
  Year:  2019
  Supported by:  IPM
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.

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