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Weak pinning: Surface growth in presence of a defect

F. Slanina·M. Kotrla
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Abstract

We study the influence of a point defect on the profile of a growing surface in the single-step growth model. We employ the mapping to the asymmetric exclusion model with blockage, and using Bethe-Ansatz eigenfunctions as a starting approximation we are able to solve this problem analytically in two-particle sector. The dip caused by the defect is computed. A simple renormalization group-like argument enables to study scaling of the dip with increasing length of the sample L; the RG mapping is calculated approximately using the analytical results for small samples. For a horizontal surface we found that the surface is only weakly pinned at the inhomogeneity; the dip scales as a power law L^γwith γ= 0.58496. The value of the exponent agrees with direct numerical simulations of the inhomogeneous single-step growth model. In the case of tilted surfaces we observe a phase transition between weak and strong pinning and the exponent in the weak pinning regime depends on the tilt.

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F. Slanina, M. Kotrla. 1997-09-09. Weak pinning: Surface growth in presence of a defect. https://doi.org/10.1016/s0378-4371(98)00203-9

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