Universal Fluctuations of Growing Interfaces: Evidence in Turbulent Liquid Crystals
Statistical Mechanics
2010-06-15 v3 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1001.5121,
title = {Universal Fluctuations of Growing Interfaces: Evidence in Turbulent Liquid Crystals},
author = {Kazumasa A. Takeuchi and Masaki Sano},
journal= {arXiv preprint arXiv:1001.5121},
year = {2010}
}
Comments
4 pages, 5 figures; minor changes made; note added