Particle propulsion at the isotropic-nematic interface

Using continuum framework based on Landau-de Gennes theory, we simulate a particle in nematic phase near at the transition temperature and we show that the external force in the particle at the isotropic-nematic transition is no zero and generate a self-mobility in the particle to the isotropic phase. 

We employed tensorial order parameter, Q, for uniaxial systems and we relaxed the tensorial order parameter by the Ginzburg-Landau equation we simulate two regions: The host is a nematic phase and a second region 1micra bigger than the particle and is close at the transition and we move the particle between the interpahse to the center and we calculte the free energy (Elastic, Landau-de Gennes and surface) and we can calculte the external force applicate at the particle.