# Dynamics and scaling of one-dimensional surface structures

@article{Israeli1999DynamicsAS,
title={Dynamics and scaling of one-dimensional surface structures},
author={Navot Israeli and Hyeong-Chai Jeong and Daniel Kandel and John D. Weeks},
journal={Physical Review B},
year={1999},
volume={61},
pages={5698-5706}
}
• Published 1 August 1999
• Materials Science
• Physical Review B
We study several one-dimensional step flow models. Numerical simulations show that the slope of the profile exhibits scaling in all cases. We apply a scaling ansatz to the various step flow models and investigate their long time evolution. This evolution is described in terms of a continuous step density function, which scales in time according to ${D(x,t)=F(xt}^{\ensuremath{-}1/\ensuremath{\gamma}}).$ The value of the scaling exponent $\ensuremath{\gamma}$ depends on the mass transport…

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## References

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