Hydrodynamics of Biaxial Nematic Liquid Crystals

Jacobsen, Erik; Swift, J. B.

doi:10.1080/00268948108082167

Cited by 19 publications

(7 citation statements)

References 8 publications

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“…Therefore the orientation of a biaxial molecule is fixed by three parameters, two for the orientation of the first director, a third one for that of the second director [16]. Because of this constraint a two-director theory [51,52] is clumsy to handle, and therefore in our work [53,54] we replace it by another representation of orthogonal transformations using quaternions, because in this case no constraints appear. Quaternions consist of four components, so that a unit quaternion has three independent components.…”

Section: Remarks On Liquid Crystals Of Biaxial Moleculesmentioning

confidence: 98%

Sketch of the mesoscopic description of nematic liquid crystals

Muschik

Papenfuß

Ehrentraut

2004

Journal of Non-Newtonian Fluid Mechanics

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Section: Remarks On Liquid Crystals Of Biaxial Moleculesmentioning

confidence: 98%

Sketch of the mesoscopic description of nematic liquid crystals

Muschik

Papenfuß

Ehrentraut

2004

Journal of Non-Newtonian Fluid Mechanics

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“…The constitutive equations derived using the Ericksen-Leslie-theory have been compared with the theory developed by Saupe [12]. In [13], the linearized hydrodynamic equations have been used to predict the at tenuation of low frequency sound waves. The hydro dynamics of biaxial nematics in an external magnetic field have been treated in [14] in terms of thermodynamical forces and fluxes.…”

Section: Introductionmentioning

confidence: 99%

A Simplified Thermodynamic Theory for Biaxial Nematics

Papenfuß

Verhás

Muschik

1995

Zeitschrift Für Naturforschung A

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A continuum theory of a biaxial nematic phase in liquid crystals is presented. The liquid crystalline ordering is described by a field of three unit vectors. Because these are macroscopic directors, the present approach is a generalization of the Ericksen-Leslie theory to biaxial nematics. The applied tools from nonequilibrium thermodynamics are classical Linear Irreversible Thermodynamics and Gyarmati's variational principle.

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“…The dynamical properties [27,28,29,30,31,33] of biaxial nematic systems have also been considered. For the most part, many of the aforementioned theoretical works have been mainly focused on biaxial systems exhibiting the macroscopically nonpolar D 2h -symmetry [1,16,17,18,19,20,27,28,29,30,31], in which both of the symmetry axes are non-polar.…”

Section: Introductionmentioning

confidence: 99%

“…Analytically, a few other theoretical issues have also been looked at, including static properties such as stability of phases [16,17,18,19,20,21], elasticity and viscosity [22,23,24,25], and critical behavior [26]. The dynamical properties [27,28,29,30,31,33] of biaxial nematic systems have also been considered. For the most part, many of the aforementioned theoretical works have been mainly focused on biaxial systems exhibiting the macroscopically nonpolar D 2h -symmetry [1,16,17,18,19,20,27,28,29,30,31], in which both of the symmetry axes are non-polar.…”

Section: Introductionmentioning

confidence: 99%

Poisson-bracket approach to the dynamics of bent-core molecules

Kung

2007

Phys. Rev. E

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We generalize our previous work on the phase stability and hydrodynamic of polar liquid crystals possessing local uniaxial C∞v-symmetry to biaxial systems exhibiting local C2v-symmetry. Our work is motivated by the recently discovered examples of thermotropic biaxial nematic liquid crystals comprising bent-core mesogens, whose molecular structure is characterized by a non-polar body axis (n) as well as a polar axis (p) along the bisector of the bent mesogenic core which is coincident with a large, transverse dipole moment. The free energy for this system differs from that of biaxial nematic liquid crystals in that it contains terms violating the p → −p symmetry. We show that, in spite of a general splay instability associated with these parity-odd terms, a uniform polarized biaxial state can be stable in a range of parameters. We then derive the hydrodynamic equations of the system, via the Poisson-bracket formalism, in the polarized state and comment on the structure of the corresponding linear hydrodynamic modes. In our Poisson-bracket derivation, we also compute the flow-alignment parameters along the three symmetry axes in terms of microscopic parameters associated with the molecular geometry of the constituent biaxial mesogens.

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Hydrodynamics of Biaxial Nematic Liquid Crystals

Cited by 19 publications

References 8 publications

Sketch of the mesoscopic description of nematic liquid crystals

Sketch of the mesoscopic description of nematic liquid crystals

A Simplified Thermodynamic Theory for Biaxial Nematics

Poisson-bracket approach to the dynamics of bent-core molecules

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