Phase Ordering in Nematic Liquid Crystals

Details Phase Ordering in Nematic Liquid Crystals Phase Ordering in Nematic Liquid Crystals

2001-04-27

arxiv.org/abs/cond-mat/0104550v1

Physics

Condensed Matter

Soft Condensed Matter

21 pages, 14 eps figures, revtex

Scientific paper

10.1103/PhysRevE.64.021701

We study the kinetics of the nematic-isotropic transition in a two-dimensional liquid crystal by using a lattice Boltzmann scheme that couples the tensor order parameter and the flow consistently. Unlike in previous studies, we find the time dependences of the correlation function, energy density, and the number of topological defects obey dynamic scaling laws with growth exponents that, within the numerical uncertainties, agree with the value 1/2 expected from simple dimensional analysis. We find that these values are not altered by the hydrodynamic flow. In addition, by examining shallow quenches, we find that the presence of orientational disorder can inhibit amplitude ordering.

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