Random growth of interfaces as a subordinated process.
@article{Failla2004RandomGO, title={Random growth of interfaces as a subordinated process.}, author={R. Failla and P. Grigolini and M. Ignaccolo and A. Schwettmann}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2004}, volume={70 1 Pt 1}, pages={ 010101 } }
We study the random growth of surfaces from within the perspective of a single column, namely, the fluctuation of the column height around the mean value, y (t) identical with h (t)-, which is depicted as being subordinated to a standard fluctuation-dissipation process with friction gamma. We argue that the main properties of Kardar-Parisi-Zhang theory, in one dimension, are derived by identifying the distribution of return times to y (0) =0, which is a truncated inverse power law, with the… CONTINUE READING
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