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Impact of diffusion limited aggregates of impurities on nematic ordering

Author

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  • Harkai, S.
  • Ambrožič, M.
  • Kralj, S.

Abstract

We study the impact of random bond-type disorder on two-dimensional (2D) orientational ordering of nematic liquid crystal (LC) configurations. The lattice Lebwohl–Lasher pseudospin model is used to model orientational ordering perturbed by frozen-in rod-like impurities of concentration p exhibiting the isotropic orientational probability distribution. The impurities are either (i) randomly spatially distributed or (ii) form diffusion limited aggregation (DLA)-type patterns characterized by the fractal dimensions df, where we consider cases df∼1.7 and df∼1.9. The degree of orientational ordering is quantified in terms of the orientational pair correlation function G(r). Simulations reveal that the DLA pattern imposed disorder has a significantly weaker impact for a given concentration of impurities. Furthermore, if samples are quenched from the isotropic LC phase, then the fractal dimension is relatively strongly imprinted on quantitative characteristics of G(r).

Suggested Citation

  • Harkai, S. & Ambrožič, M. & Kralj, S., 2017. "Impact of diffusion limited aggregates of impurities on nematic ordering," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 467(C), pages 249-256.
    • Handle: RePEc:eee:phsmap:v:467:y:2017:i:c:p:249-256
    DOI: 10.1016/j.physa.2016.10.001
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    Cited by:

    1. Salcedo-Sanz, S. & Cuadra, L., 2019. "Hybrid L-systems–Diffusion Limited Aggregation schemes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 592-605.

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