# Phase Ordering in Nematic Liquid Crystals

Source: [Phase Ordering in Nematic Liquid Crystals](<https://www.sota2.com/research/paper/68fa254d2c2a3760193aee8e>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T10:37:51.915Z

Authors: Colin Denniston, Enzo Orlandini, J.M. Yeomans

Published: 2001-04-27T20:15:05.000Z

## Abstract

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.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0104550>)

[PDF](<https://arxiv.org/pdf/cond-mat/0104550.pdf>)