2007/03/10 by Kapilanjan Krishan, Krishan, Kapilanjan
Economics, Econometrics and Finance · Engineering · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #Complex Systems and Time Series Analysis #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Pattern Formation and Solitons (nlin.PS) #Theoretical and Computational Physics #nlin.CD #nlin.PS #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.physics/0703113
4 pages, 4 figures
arxiv created 2007/03/10 · openalex publication_date 2007/03/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We find the evolution toward power-law scaling in the distribution of roll lengths and nearest-neighbor distributions in a weakly turbulent regime of Rayleigh-Benard convection, known as spiral defect chaos. The state has a bounded domain of wave vectors in Fourier space attributed to the flow being highly confined to two dimensions. Our results indicates the existence of power-law scaling in the unconstrained horizontal dimension. The techniques described are broadly applicable to other pattern forming systems as well.