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When two objects come in direct contact with each other, it is called a collision. During a collision, two or more objects exert forces on each other in a relatively short amount of time. A collision can be categorized as either an elastic or inelastic collision. If two or more objects approach each other, collide and then bounce off, moving away from each other with the same relative speed at which they approached each other, the total kinetic energy of the system is said to be conserved. This...
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Multiparticle collision dynamics for tensorial nematodynamics.

Shubhadeep Mandal1, Marco G Mazza1,2

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Summary
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We developed a new multiparticle collision dynamics (MPCD) model for nematic liquid crystals, accurately simulating their complex behaviors. This method captures essential dynamics like flow alignment and defect annihilation, advancing the study of anisotropic fluids.

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Area of Science:

  • Soft Matter Physics
  • Mesoscopic Dynamics
  • Computational Fluid Dynamics

Background:

  • Liquid crystals exhibit unique thermodynamic, hydrodynamic, and topological behaviors challenging theoretical models.
  • Understanding these complex dynamics at the mesoscopic scale is crucial for accurate theoretical descriptions.

Purpose of the Study:

  • To generalize the multiparticle collision dynamics (MPCD) method for modeling nematic liquid crystal dynamics.
  • To incorporate tensor order parameter descriptions based on Qian-Sheng theory into the MPCD framework.

Main Methods:

  • Developed a particle-based nematic MPCD method assigning tensorial degrees of freedom to particles.
  • Included backflow effects, velocity-orientation coupling, and thermal fluctuations in the model.
  • Validated the method against known phenomena: nematic-isotropic phase transition, flow alignment, and defect dynamics.

Main Results:

  • The nematic MPCD method accurately reproduces the nematic-isotropic phase transition, shear and Poiseuille flows, and line defect annihilation.
  • Investigated flow fields around force dipoles, revealing anisotropy-induced velocity field modifications and hydrodynamic torques.
  • Demonstrated that force dipoles experience torques influencing their orientation relative to the director field.

Conclusions:

  • The generalized nematic MPCD method provides a robust tool for simulating complex liquid crystal dynamics.
  • This approach has significant implications for modeling nematic flows and understanding microswimmer/colloid behavior in anisotropic media.