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Effects of a Local Defect on One-dimensional Nonlinear Surface Growth by Soh, Hyungjoon; Baek, Yongjoo; Ha, Meesoon; Jeong, Hawoong is a scholarly article available to read on EtoBox.

What is Effects of a Local Defect on One-dimensional Nonlinear Surface Growth about?

The slow-bond problem is a long-standing question about the minimal strength $\epsilon_\mathrm{c}$ of a local defect with global effects on the Kardar--Parisi--Zhang (KPZ) universality class. A consensus on the issue has been delayed due to the discrepancy between various analytical predictions claiming $\epsilon_\mathrm{c} = 0$ and numerical observations claiming $\epsilon_\mathrm{c} > 0$. We revisit the problem via finite-size scaling analyses of the slow-bond effects, which are tested for different boundary conditions through extensive Monte Carlo simulations. Our results provide evidence that the previously reported nonzero $\epsilon_\mathrm{c}$ is an artifact of a crossover phenomenon, which logarithmically converges to zero as the system size goes to infinity.

Author

Soh, Hyungjoon; Baek, Yongjoo; Ha, Meesoon; Jeong, Hawoong

Published

2016

Language

EN