# Spatial and temporal spectra of noise driven stripe patterns

Source: [Spatial and temporal spectra of noise driven stripe patterns](<https://www.sota2.com/research/paper/68fa25542c2a3760193af1e6>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T10:38:53.977Z

Authors: K.Staliunas

Published: 2001-03-01T13:22:57.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0103018>)

[PDF](<https://arxiv.org/pdf/cond-mat/0103018.pdf>)