eesti teaduste
akadeemia kirjastus
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of the estonian academy of sciences
ISSN 1736-7530 (Electronic)
ISSN 1736-6046 (Print)
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Mathematical modelling of the performance of a twisting-ball display; pp. 398–403

Full article in PDF format | doi: 10.3176/proc.2014.4.05

Jüri Liiv, Aleksei Mashirin, Toomas Tenno, Peep Miidla


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.


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