论文信息 - Nonlinear dynamics of alignment tensor in the presence of electromagnetic fields

Nonlinear dynamics of alignment tensor in the presence of electromagnetic fields

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.

Wolfgang Muschik | Christina Papenfuss | H. Ehrentraut

[1] S. Hess. Pre-and Post-Transitional Behavior of the Flow Alignment and Flow-Induced Phase Transition in Liquid Crystals , 1976 .

[2] Siegfried Hess,et al. Fokker-Planck-Equation Approach to Flow Alignment in Liquid Crystals , 1976 .

[3] W. Muschik,et al. Orientational Balances ffor Nematic Liquid Crystals , 1991 .

[4] Masao Doi,et al. Molecular dynamics and rheological properties of concentrated solutions of rodlike polymers in isotropic and liquid crystalline phases , 1981 .

[5] W. Muschik,et al. Orientation-Balances for Liquid Crystals and Their Representation by Alignment Tensors , 1991 .

[6] H. D. Koswig,et al. Spontaneously created ring structures in free-standing liquid crystal films and their dependence on temperature and material parameters , 1996 .