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Universal Fluctuations of Growing Interfaces: Evidence in Turbulent Liquid Crystals

We investigate growing interfaces of topological-defect turbulence in the electroconvection of nematic liquid crystals. The interfaces exhibit self-affine roughening characterized by both spatial and temporal scaling laws of the Kardar-Parisi-Zhang theory in 1+1 dimensions. Moreover, we reveal that the distribution and the two-point correlation of the interface fluctuations are universal ones governed by the largest eigenvalue of random matrices. This provides quantitative experimental evidence of the universality prescribing detailed information of scale-invariant fluctuations.

preprint2010arXivOpen access
Kazumasa A. TakeuchiMasaki Sano
cond-mat.stat-mechmath-phmath.MP
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Kazumasa A. TakeuchiMasaki Sano

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