Nonlinear dynamics of alignment tensor in the presence of electromagnetic fields

C. Papenfuss; H. Ehrentraut; W. Muschik

doi:10.1117/12.299988

1 February 1998 Nonlinear dynamics of alignment tensor in the presence of electromagnetic fields

C. Papenfuss, H. Ehrentraut, W. Muschik

Proceedings Volume 3318, Liquid Crystals: Physics, Technology, and Applications; (1998) https://doi.org/10.1117/12.299988
Event: Liquid Crystals, 1997, Zakopane, Poland

Abstract

An equation of motion for the second order alignment tensor, including the influence of electromagnetic fields is derived. The starting point are the mesoscopic balance equations of mass and of angular momentum. A constitutive equation on the mesoscopic level is discussed. The two balance equations together with the constitutive equation yield a Fokker-Planck type equation of motion for the ODF. This finally leads to a nonlinear partial differential equation for the alignment tensor.

Citation Download Citation

C. Papenfuss, H. Ehrentraut, and W. Muschik "Nonlinear dynamics of alignment tensor in the presence of electromagnetic fields", Proc. SPIE 3318, Liquid Crystals: Physics, Technology, and Applications, (1 February 1998); https://doi.org/10.1117/12.299988

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