Universal fluctuations in radial growth models belonging to the KPZ universality class
Departamento de Física - Universidade Federal de Viçosa - 36571-000, Viçosa, Minas Gerais, Brazil
Accepted: 22 September 2011
We investigate the radius distributions (RD) of surfaces obtained with large-scale simulations of radial clusters that belong to the KPZ universality class. For all investigated models, the RDs are given by the Tracy-Widom distribution of the Gaussian unitary ensemble, in agreement with the conjecture of the KPZ universality class for curved surfaces. The quantitative agreement was also confirmed by two-point correlation functions asymptotically given by the covariance of the Airy2 process. Our simulation results fill a lacking gap of the conjecture that had been recently verified analytically and experimentally.
PACS: 81.15.Aa – Theory and models of film growth / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 89.75.Da – Systems obeying scaling laws
© EPLA, 2011