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The Domain Chaos Puzzle and the Moments of the Swift-Hohenberg Structure Factor

Integration of the Swift-Hohenberg (SH) structure factor (SF) provided analytic results for the total power P , the first moment k, and the variance σ. Comparison of σ = 1/ξ with the halfwidth 1/ξ shows that ξ ∼ √ ξ. This may explain previous experimental results for domain chaos in Rayleigh-Benard convection with rotation that indicated ξ ∼ eeff (e is the distance above threshold) with νeff ≃ 1/4 in apparent disagreement with the theoretical prediction of ξ ∼ e with ν = 1/2. Fitting the SH SF to new data yielded ν ≃ 0.41, considerably closer to the prediction.