Mathematical modelling of the performance of a twisting-ball display

A mathematical model of an electrophoretic information display is considered. A system of differential equations describing the behaviour of an elementary cell of the twisting-ball display is introduced. A theoretical overview of the theories of ball shift and rotation is given. Results of numerical experiments of modelling the balls with different physical parameters are presented. The system of equations was solved using MATLAB solvers implementing Runge-Kutta methods with variable time step using step-wise integration. The display performance function describing the dependence between luminance and rotation in cases of different physical parameters is developed.