English

The Spatio-Temporal Structure of Spiral-Defect Chaos

chao-dyn 2015-06-24 v1 Chaotic Dynamics Pattern Formation and Solitons patt-sol

Abstract

We present a study of the recently discovered spatially-extended chaotic state known as spiral-defect chaos, which occurs in low-Prandtl-number, large-aspect-ratio Rayleigh-Benard convection. We employ the modulus squared of the space-time Fourier transform of time series of two-dimensional shadowgraph images to construct the structure factor S(k,ω){S}({\vec k},\omega ). This analysis is used to characterize the average spatial and temporal scales of the chaotic state. We find that the correlation length and time can be described by power-law dependences on the reduced Rayleigh number ϵ{\epsilon}. These power laws have as yet no theoretical explanation.

Keywords

Cite

@article{arxiv.chao-dyn/9604013,
  title  = {The Spatio-Temporal Structure of Spiral-Defect Chaos},
  author = {Stephen W. Morris and Eberhard Bodenschatz and David S. Cannell and Guenter Ahlers},
  journal= {arXiv preprint arXiv:chao-dyn/9604013},
  year   = {2015}
}

Comments

RevTex 38 pages with 13 figures. Due to their large size, some figures are stored as separate gif images. The paper with included hi-res eps figures (981kb compressed, 3.5Mb uncompressed) is available at ftp://mobydick.physics.utoronto.ca/pub/MBCA96.tar.gz An mpeg movie and samples of data are also available at ftp://mobydick.physics.utoronto.ca/pub/. Paper submitted to Physica D