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Viscoelastic nematodynamics.

Stefano S Turzi¹

¹Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milano, Italy.

Physical Review. E

|January 14, 2017

Summary

This summary is machine-generated.

This study introduces a viscoelastic model for nematic liquid crystals, explaining their solid-like acoustic behaviors and non-Newtonian fluid properties. The model captures frequency-dependent sound velocity and viscosity, crucial for understanding these complex materials.

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Area of Science:

Soft Matter Physics
Materials Science
Fluid Dynamics

Background:

Nematic liquid crystals display unique properties, blending crystalline and fluid characteristics.
Acoustic wave propagation reveals solid-like behaviors, including frequency-dependent sound velocity and attenuation.
Non-Newtonian fluid dynamics are observed through frequency-dependent viscosity in nematics.

Purpose of the Study:

To develop a comprehensive viscoelastic model for nematic liquid crystals.
To incorporate compressibility, anisotropic elasticity, and dynamic relaxation effects.
To analyze phenomena at various shear rates and frequencies.

Main Methods:

Formulation of a viscoelastic model extending previous theories.
Inclusion of compressibility, anisotropic elasticity, and dynamic relaxation.

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Analysis of low- and intermediate-frequency regimes.

Main Results:

The model accurately describes frequency-dependent sound velocity and acoustic attenuation.
It captures the relaxation mechanisms of finite shear and bulk elastic moduli.
Uniaxial symmetry restricts the system to four distinct relaxation times.

Conclusions:

The proposed viscoelastic model effectively explains the complex hydrodynamic behavior of nematic liquid crystals.
The model provides a unified framework for understanding both acoustic and flow properties.
It highlights the critical role of dynamic relaxation and anisotropic elasticity.