Scaling behavior in Spiral Defect Chaos

Details Scaling behavior in Spiral Defect Chaos Scaling behavior in Spiral Defect Chaos

2007-03-10

arxiv.org/abs/physics/0703113v1

Physics

Fluid Dynamics

4 pages, 4 figures

Scientific paper

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.

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