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Rotational diffusion and orientation relaxation of rodlike molecules in a biaxial liquid crystal phase

Author

Listed:
  • Coffey, William T.
  • Kalmykov, Yury P.
  • Ouari, Bachir
  • Titov, Sergey V.

Abstract

The longitudinal relaxation time and the complex dielectric polarizability of rod-like molecules with dipole moment parallel to the long axis in a biaxial nematic liquid crystal are calculated using as model the rotational Brownian motion in a mean field potential so reducing the problem to a solution of a set of linear differential-recurrence relations for statistical moments (the appropriate equilibrium orientational correlation functions). The solution of this set is obtained by matrix continued fractions. Moreover, simple analytic equations (based on the exponential separation of the time scales of the intrawell and overbarrier (interwell) relaxation processes), allowing one to understand the qualitative behavior of the system and accurately predicting the longitudinal complex polarizability for wide range of the barrier height and anisotropy parameters, are proposed.

Suggested Citation

  • Coffey, William T. & Kalmykov, Yury P. & Ouari, Bachir & Titov, Sergey V., 2006. "Rotational diffusion and orientation relaxation of rodlike molecules in a biaxial liquid crystal phase," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 368(2), pages 362-376.
    • Handle: RePEc:eee:phsmap:v:368:y:2006:i:2:p:362-376
    DOI: 10.1016/j.physa.2005.12.054
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    Cited by:

    1. Sitnitsky, A.E., 2015. "Exact solution of Smoluchowski’s equation for reorientational motion in Maier–Saupe potential," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 373-384.
    2. Sitnitsky, A.E., 2016. "Probability distribution function for reorientations in Maier–Saupe potential," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 452(C), pages 220-228.

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