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Physical Review A
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1/f noise for driven interfaces

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Abstract

Velocity-fluctuation spectra are proposed as a probe of the dynamic scaling of moving interfaces. Using the theory of Kardar, Parisi, and Zhang [Phys. Rev. Lett. 56, 889 (1986)] it is shown that the spectrum of the spatially averaged displacement velocity diverges as 1/f at low frequencies, where =1/3 (0.7) for a one- (two-) dimensional interface. This implies superdiffusive motion of the average interface position, which is verified numerically. The fluctuation spectrum of the stationary interface width diverges as 1/f2+Simulations of interfaces driven by non-Gaussian noise are also presented. © 1991 The American Physical Society.

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Physical Review A

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