Effects of a local defect on one-dimensional nonlinear surface growth

Abstract

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.

8 pages, 6 figures (6 pdf files); published version

References in corpus (6)

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• Growing interfaces uncover universal fluctuations behind scale invariance
• The one-dimensional KPZ equation and its universality class
• Memory and universality in interface growth
• Defect-induced phase transition in the asymmetric simple exclusion process
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Cited by in corpus (6)

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• Jamming and condensation in one-dimensional driven flow
• Defect versus defect: stationary states of single file marching in periodic landscapes with road blocks
• Nonequilibrium protection effect and spatial localization of noise-induced fluctuations: Quasi-one-dimensional driven lattice gas with partially penetrable obstacle
• Passive Tracer Dynamics in Slow-Bond Problem