Spatial and temporal spectra of noise driven stripe patterns

2001/03/01 by Kęstutis Staliūnas, K. Staliunas · 1 citation
Computer Science · Environmental Science · Physics and Astronomy · #Ecosystem dynamics and resilience #Nonlinear Dynamics and Pattern Formation #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.soft

paper · pdf · doi:10.1103/physreve.64.066129

Submitted to PRE

arxiv created 2001/03/01 · openalex publication_date 2001/11/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 subdiffusive.

Citations

• 1/f noise in spatially extended systems with order-disorder phase transitions
• The chemical basis of morphogenesis
• Hydrodynamic fluctuations at the convective instability
• Pattern formation outside of equilibrium

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