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arXiv · 0912.0062

Changing growth conditions during surface growth

Abstract

Motivated by a series of experiments that revealed a temperature dependence of the dynamic scaling regime of growing surfaces, we investigate theoretically how a nonequilibrium growth process reacts to a sudden change of system parameters. We discuss quenches between correlated regimes through exact expressions derived from the stochastic Edwards-Wilkinson equation with a variable diffusion constant. Our study reveals that a sudden change of the diffusion constant leads to remarkable changes in the surface roughness. Different dynamic regimes, characterized by a power-law or by an exponential relaxation, are identified, and a dynamic phase diagram is constructed. We conclude that growth processes provide one of the rare instances where quenches between correlated regimes yield a power-law relaxation.

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BibTeXRIS

Yen-Liang Chou, Michel Pleimling, R. K. P. Zia. 2009-12-01. Changing growth conditions during surface growth. https://doi.org/10.1103/physreve.80.061602

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