Influência da viscosidade de superfície, energia de ancoramento, espessura e ângulo na superfície no tempo de relaxamento de cristais líquidos nemáticos

Abstract

In this work we study the role of the surface viscosity on the relaxation times of anematic liquid crystal cell. The equations were obtained from the Frank free energy and the Derzhanski and Petrov model for the boundary conditions. These equation we resolved when the director angles are small and the elastic constants are approximately the same. To realize this work the vertical alignment geometry was chosen. A numerical algorithm was also designed to solve the equations without any kind of approximation. With the solution we obtained the relaxation times of the system and analyzed the role of some parameters on the relaxation time of the system, mainly the surface viscosity. The results indicate that under certain circumstances? the surface viscosity is crucial to calculate the relaxation time of the system. The surface viscosity still have not been measured for the studied geometry, hence we hope that this work indicate possible ways where this parameter could be more easily obtained.