The lattice Hamiltonian modeling for active nematic liquid crystals with disclinations and oriented surfaces

We study the system of colloid active nematic liquid crystals evolving with transformation of the structure of surface linear topological defects. We estimate numerically the SO(2) Hamiltonian of the BKT model for disclinations on the surfaces connected with flows, which can participate in the defect ordering transitions. © Published under licence by IOP Publishing Ltd.

Authors
Elnikova L.V. 1 , Belyaev V.V. 2, 3
Publisher
Institute of Physics Publishing
Issue number
1
Language
English
State
Published
Number
012008
Volume
1560
Year
2020
Organizations
  • 1 Alikhanov Institute for Theoretical and Experimental Physics, Moscow, Russian Federation
  • 2 Moscow Region State University MRSU, Very Voloshinoy str., 24, Mytishi, 141014, Russian Federation
  • 3 Rudn University (Peoples' Friendship University of Russia), 6 Miklukho-Maklay St., Moscow, 117198, Russian Federation
Keywords
Crystal structure; Hamiltonians; Linear transformations; Mathematical transformations; Nematic liquid crystals; Disclinations; Lattice Hamiltonians; Ordering transitions; Structure of surfaces; Topological defect; Nanoelectronics
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