Measuring Cosmic Defect Correlations in Liquid Crystals

Details Measuring Cosmic Defect Correlations in Liquid Crystals Measuring Cosmic Defect Correlations in Liquid Crystals

2001-10-12

arxiv.org/abs/hep-ph/0110165v2

Phys.Rev. D69 (2004) 103525

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, 4 figures, minor changes, few new references added

Scientific paper

10.1103/PhysRevD.69.103525

From the theory of topological defect formation proposed for the early universe, the so called Kibble mechanism, it follows that the density correlation functions of defects and anti-defects in a given system should be completely determined in terms of a single length scale $\xi$, the relevant domain size. Thus, when lengths are expressed in units of $\xi$, these distributions should show universal behavior, depending only on the symmetry of the order parameter, and space dimensions. We have verified this prediction by analyzing the distributions of defects/anti-defects formed in the isotropic-nematic phase transition in a thin layer of nematic liquid crystals. Our experimental results confirm this prediction and are in reasonable agreement with the results of numerical simulations.

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