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Spatial and temporal spectra of noise driven stripe patterns

K. Staliunas
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Abstract

Spatial and temporal noise power spectra of stripe patterns are investigated, using as a model a Swift-Hohenberg equation with a stochastic term. In particular, the analytical and numerical investigations show: 1) the temporal noise spectra are of 1/f^alpha form, where alpha=1+(3-D)/4 with D the spatial dimension of the system; 2) that the stochastic fluctuations of the stripe position are sub-diffusive.

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K. Staliunas. 2001-03-01. Spatial and temporal spectra of noise driven stripe patterns. https://doi.org/10.1103/physreve.64.066129

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