The Dynamical Behavior of Liquid Crystals: A Continuum Description through Generalized Brackets

摘要: Abstract In this paper, we systematically develop a hierarchy of constitutive equations at various levels abstraction for describing the dynamics incompressible liquid-crystalline systems. We also introduce corresponding generalized bracket formulations. The simplest brackets, in terms direction vector, are capable generating Leslie-Ericksen (LE) theory both standard form (inertial) as well which inertia associated with rotation director is neglected. parallel, second, more-complex class brackets introduced, structural tensor, generates that more general than LE theory, it can describe more-diverse phenomena, such biaxiality and phase transitions. As particular cases, reduce to or recent Ericksen under uniaxial approximation. Thus collection governing theor...