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.