English

Spatial and temporal spectra of noise driven stripe patterns

Soft Condensed Matter 2009-11-07 v1 Disordered Systems and Neural Networks

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.

Keywords

Cite

@article{arxiv.cond-mat/0103018,
  title  = {Spatial and temporal spectra of noise driven stripe patterns},
  author = {K. Staliunas},
  journal= {arXiv preprint arXiv:cond-mat/0103018},
  year   = {2009}
}

Comments

Submitted to PRE

R2 v1 2026-07-22T10:17:32.453Z