# Dynamical Scaling In Two Dimensional Quenched Uniaxial Nematic Liquid Crystals

Source: [Dynamical Scaling In Two Dimensional Quenched Uniaxial Nematic Liquid Crystals](<https://www.sota2.com/research/paper/68fa1e727a2b558e293226cc>)

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

Data updated: 2025-10-23T15:04:57.604Z

Authors: Subhrajit Dutta, Soumen Kumar Roy

Published: 2005-03-05T08:56:23.000Z

## Abstract

The phase ordering kinetics of the two-dimensional uniaxial nematic has been studied using a Cell Dynamic Scheme. The system after quench from T=infinity was found to scale dynamically with an asymptotic growth law similar to that of two-dimensional O(2) model (quenched from above the Kosterlitz - Thouless transition temperature), i.e. L(t) ~ t/ln(t/t0 ^{1/2} (with nonuniversal time scale t0). We obtained the true asymptotic limit of the growth law by performing our simulation for sufficiently long time. The presence of topologically stable 1/2-disclination points is reflected in the observed large-momentum dependence k ^{-4} of the structure factor. The correlation function was also found to tally with the theoretical prediction of the correlation function for the two-dimensional O(2) system.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0503121>)

[PDF](<https://arxiv.org/pdf/cond-mat/0503121.pdf>)