Dynamics of nonlinear electrophoretic motion of dielectric microparticles in nematic liquid crystal

Nontrivial electrophoresis of silica nano and microrods in a nematic liquid crystal

“…r e is the effective radius of a sphere with the same volume as the rod and given by , r and h being the radius and length. Considering, σ rod = 10 −12 S m −1 , 31 and σ LC = 3.2 × 10 −10 S m −1 , 34 calculated nonlinear mobilities of the nano and microrods are: μ nano 3 ≃ 2.1 × 10 −21 m 4 V −3 s −1 and μ micro 3 ≃ 1.2 × 10 −20 m 4 V −3 s −1 , respectively. These calculated values are somewhat smaller than those obtained in the experiments.…”

“…Considering, s rod = 10 À12 S m À1 , 31 and s LC = 3.2 Â 10 À10 S m À1 , 34 calculated nonlinear mobilities of the nano and microrods are: m nano 3 C 2.1 Â 10 À21 m 4 V À3 s À1 and m micro 3 C 1.2 Â 10 À20 m 4 V À3 s À1 , respectively. These calculated values are somewhat smaller than those obtained in the experiments.…”

“…The velocity component v y arises due to the liquid crystal-enabled electrophoresis and we will discuss it later. Since the rods have surface charge the component v x arises due to the classical electrophoresis and the field dependent velocity can be expressed as 31 v x = μ 1 E + μ 3 E 3 where μ 1 and μ 3 are the mobilities of the linear and cubic terms, respectively. Fig.…”

Electrophoretic propulsion of matchstick-shaped magnetodielectric particles in the presence of external magnetic fields in a nematic liquid crystal

“…The observed non-linearity in velocities can be attributed to two different phenomena. The first one is the classic electrophoresis, 14 where the velocity dependence can be expressed as 47 v classic = μ 1 E + μ 3 E 3 where μ 1 is the linear electrophoretic mobility and μ 3 is the coefficient of the non-linear term arising at stronger fields. The next is the contribution due to LCEEP where the velocity has a quadratic dependence and is given by 27 v LCEEP = βE 2 where is the field-independent mobility, is the anisotropic permittivity, is the anisotropic conductivity, and η ‖ is the effective nematic viscosity.…”