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Competing Universalities in Kardar-Parisi-Zhang (KPZ) Growth Models
- Source :
- Phys. Rev. Lett. 122, 040605 (2019)
- Publication Year :
- 2019
-
Abstract
- 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 p<0.5, and to the Gaussian unitary ensemble TW distribution for p>0.5. 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.<br />Comment: 5 pages, 6 figures, Phys. Rev. Lett. (2019) (accepted)
- Subjects :
- Condensed Matter - Statistical Mechanics
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. Lett. 122, 040605 (2019)
- Publication Type :
- Report
- Accession number :
- edsarx.1901.05716
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevLett.122.040605