Static and Hydrodynamic Properties of Nematic Liquid Crystals

Chrzanowska, Agnieszka; Sokalski, K.

doi:10.1515/zna-1992-0404

Cited by 8 publications

(1 citation statement)

References 10 publications

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“…Here and below, •• denotes an average with respect to the distribution function f , where the integration is performed over the three-dimensional unit sphere. The antisymmetric part of the stress tensor is of the form also used in [52,55,56,[58][59][60][61][62][63][64][65][66][67][68][69][70][71][72][73], while an additional antisymmetric stress has been proposed in [57]. Inserting the potential V into equations ( 9) and (10) one obtains…”

Section: Pressure Tensor and Magnetizationmentioning

confidence: 99%

Magnetoviscous model fluids

Kröger

Ilg

Hess

2003

J. Phys.: Condens. Matter

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We review, apply and compare diverse approaches to the theoretical understanding of the dynamical and rheological behaviour of ferrofluids and magnetorheological (MR) fluids subject to external magnetic and flow fields. Simple models are introduced which are directly solvable by nonequilibrium Brownian or molecular dynamics computer simulation. In particular, the numerical results for ferrofluids quantify the domain of validity of uniaxial alignment of magnetic moments (in and) out of equilibrium. A Fokker-Planck equation for the dynamics of the magnetic moments-corresponding to the Brownian dynamics approach-and its implications are analysed under this approximation. The basic approach considers the effect of external fields on the dynamics of ellipsoid shaped permanent ferromagnetic domains (aggregates), whose size should depend on the strength of flow and magnetic field, the magnetic interaction parameter and concentration (or packing fraction). Results from analytic calculations and from simulation are summarized for the anisotropy of the viscosity. In order to study the effect of flow on the anisotropic viscosities and shear-induced structures of MR fluids and ferrofluids subject to a strong external magnetic field, a simple model of perfectly oriented particles is considered.

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Section: Pressure Tensor and Magnetizationmentioning

confidence: 99%

Magnetoviscous model fluids

Kröger

Ilg

Hess

2003

J. Phys.: Condens. Matter

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Dielectric Properties of Liquid Crystals Under High Pressure

Urban

Würflinger

1997

Advances in Chemical Physics

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Viscosity coefficients of smectics C∗

1995

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By extending the statistical theory of rheological properties of nematics, we derive elementary expressions for all phenomenological viscosity coefficients of ferroelectric smectics C* in terms of a small number of parameters. The results permit estimates of signs and ratios of viscosity coefficients and their tilt angle dependence. It is shown that a number of coefficients generally appear to be very small and can be neglected in practical calculations. We discuss also the influence of molecular biaxiality on the rotational viscosity of smectics C.

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Static and Hydrodynamic Properties of Nematic Liquid Crystals

Cited by 8 publications

References 10 publications

Magnetoviscous model fluids

Magnetoviscous model fluids

Dielectric Properties of Liquid Crystals Under High Pressure

Viscosity coefficients of smectics C∗

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