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DY: Fachverband Dynamik und Statistische Physik
DY 32: Complex Fluids and Soft Matter (joint session DY/CPP)
DY 32.9: Vortrag
Mittwoch, 3. April 2019, 17:30–17:45, H3
Multiparticle Collision Dynamics Modeling of Nematic Liquid Crystal with Variable Order Parameter — •Shubhadeep Mandal1 and Marco G. Mazza1,2 — 1Max Planck Institute for Dynamics and Self-Organization, Göttingen, Germany — 2Loughborough University, Loughborough, United Kingdom
We have generalized the particle-based multiparticle collision dynamics (MPCD) method to model the hydrodynamics of nematic liquid crystals. Following Qian-Sheng theory [Phys. Rev. E 58, 7475 (1998)] of nematic liquid crystals, the spatial and temporal variations of the nematic director field and the nematic degree of order are described by a tensor order parameter. The principle idea is to assign a tensor quantity to each MPCD particle, whose average resembles the macroscopic tensor order parameter. The applicability of this new method is verified by performing several physical and numerical tests. We have tested: (a) the isotropic-nematic phase transition, (b) the annihilation dynamics of a pair of point defects, (c) the flow alignment of the nematic director in shear and Poiseuille flows, and (d) the velocity profile in shear and Poiseuille flows. We have found excellent agreement with existing literature. Additionally, we study the decay of force-dipole flow field in nematic liquid crystals. The present method can have far-reaching implications not only in modeling of nematic flows, but also to study the motion of colloids and microswimmers immersed in an anisotropic medium.