Correlation Functions and Queuing Phenomena in Growth Processes with Drift(General)

概要

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A stochastic discrete growth model which physically corresponds to the drifted Edward-Wilkinson (EW) equation, ∂h/∂t=v∂^2_xh-v∂_xh+η(x, t), is suggested. From the stochastic model with a defect, the height-height correlation function C(r)=<|h(x_0+r)-h(x_0)|> is investigated, where the defect is located at x_0. When the surface evolution at the defect is not allowed, C(r) follows the power law C(r)〜r^<α'> with α'=1/4 which is identical to the anomalous roughness exponent α=1/4 for the drifted EW equation with a fixed boundary condition. When the surface evolution is partially allowed at the defect, the normal EW behavior is recovered. We also suggest new queuing phenomena based on the asymmetry C(r)≠C(-r) of the correlation function around the perfect defect.
社団法人日本物理学会の論文
2006-10-15