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24 April 2024
 
  » pubmed » pmid12241201

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Hydrodynamics of pair-annihilating disclination lines in nematic liquid crystals
D Svensek ; S Zumer ;
Date 31 Jul 2002
Journal Phys Rev E, 66 (2 Pt 1), 021712
AbstractThe pair annihilation of straight line defects with strength +/-1/2 in bulk nematic systems is studied numerically, considering a full coupling of orientational degrees of freedom and hydrodynamics. This work is based on the generalization of the Ericksen-Leslie theory to the tensor order parameter as proposed by Qian and Sheng [T. Qian and P. Sheng, Phys. Rev. E 58, 7475 (1998)]. The approach is particularly suited for the late stages of the annihilation process. It is confirmed that the +1/2 disclination line moves considerably faster than the -1/2 one (e.g., twice as fast) due to the hydrodynamic flow. Symmetries of the important stress tensor terms upon inverting the sign of the winding number and performing a homogeneous in-plane rotation of the Q-tensor eigensystem are discussed. The stress tensor terms that dominantly contribute to the advective flow and to the flow asymmetry are identified.
Source PubMed, pmid12241201
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