Chaotic and regular shear-induced orientational dynamics of nematic liquid crystals

摘要: Abstract Based on a relaxation equation for the alignment tensor characterizing molecular orientation in liquid crystals under flow we present results full orientational dynamics of homogeneous shear flow. We extend analysis symmetry-adapted states by Rienacker and Hess (Physica A 267 (1999) 294), which invoke only 3 5 components to alignment. The steady transient reduced model are preserved this more general description, except log-rolling, turns out be unstable range parameters considered. However, reported earlier stable within certain there is variety new, symmetry-breaking with director plane, partially coexist in-plane states. out-of-plane can divided two classes: simple periodic complex orbits. first class consists kayaking-tumbling kayaking-wagging state, where projection onto plane describes tumbling or wagging motion, respectively. second states, found small parameter range, either complicated irregular, chaotic Both an intermittency route period-doubling chaos found. link corresponding rheological properties made.