Analysis of the unstable state of a nematic liquid crystalbased on a simplified dynamic model

The Fréedericksz effect consisting in the reorientation of liquid crystal molecules in an extended layer under the action of inhomogeneous electric field is simulated in the paper. The constitutive equations for tangential stress, angular velocity, and electric potential are obtained from the equations of a simplified dynamic model of a 5CB nematic liquid crystal in the acoustic approximation. The algorithm for numerical solution of the constitutive equations is constructed on the basis of finite-difference schemes. The algorithm is implemented with the use of CUDA technology for computers with graphics accelerators.