Dynamical Scaling In Two Dimensional Quenched Uniaxial Nematic Liquid Crystals

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dc.creatorDutta, Subhrajit
dc.creatorRoy, Soumen Kumar
dc.date2005-03-05
dc.date.accessioned2026-07-07T03:04:02Z
dc.date.available2026-07-07T03:04:02Z
dc.descriptionThe 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.
dc.description5 figures, For Figure 5 in the manuscript please send an email
dc.identifierhttps://arxiv.org/abs/cond-mat/0503121
dc.identifierhttp://arxiv.org/abs/cond-mat/0503121
dc.identifierPhysical review E, 71, 026119 (2005)
dc.identifierdoi:10.1103/PhysRevE.71.026119
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/25980
dc.subjectStatistical Mechanics
dc.subjectSoft Condensed Matter
dc.titleDynamical Scaling In Two Dimensional Quenched Uniaxial Nematic Liquid Crystals
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